diff --git a/CHANGES b/CHANGES
index 099068d6d..f3bfb09d7 100644
--- a/CHANGES
+++ b/CHANGES
@@ -87,6 +87,7 @@ Bugs fixed
   autodoc_typehints='description' mode
 * #7551: autodoc: failed to import nested class
 * #7637: autodoc: system defined TypeVars are shown in Python 3.9
+* #7362: autodoc: does not render correct signatures for built-in functions
 * #7551: autosummary: a nested class is indexed as non-nested class
 * #7535: sphinx-autogen: crashes when custom template uses inheritance
 * #7536: sphinx-autogen: crashes when template uses i18n feature
diff --git a/sphinx/ext/autodoc/__init__.py b/sphinx/ext/autodoc/__init__.py
index f30051a6c..80bcc0e8d 100644
--- a/sphinx/ext/autodoc/__init__.py
+++ b/sphinx/ext/autodoc/__init__.py
@@ -1052,10 +1052,6 @@ class FunctionDocumenter(DocstringSignatureMixin, ModuleLevelDocumenter):  # typ
             kwargs.setdefault('show_annotation', False)
 
         unwrapped = inspect.unwrap(self.object)
-        if ((inspect.isbuiltin(unwrapped) or inspect.ismethoddescriptor(unwrapped)) and
-                not inspect.is_cython_function_or_method(unwrapped)):
-            # cannot introspect arguments of a C function or method
-            return None
         try:
             self.env.app.emit('autodoc-before-process-signature', unwrapped, False)
             sig = inspect.signature(unwrapped)
@@ -1452,17 +1448,23 @@ class MethodDocumenter(DocstringSignatureMixin, ClassLevelDocumenter):  # type:
             kwargs.setdefault('show_annotation', False)
 
         unwrapped = inspect.unwrap(self.object)
-        if ((inspect.isbuiltin(unwrapped) or inspect.ismethoddescriptor(unwrapped)) and
-                not inspect.is_cython_function_or_method(unwrapped)):
-            # can never get arguments of a C function or method
-            return None
-        if inspect.isstaticmethod(unwrapped, cls=self.parent, name=self.object_name):
-            self.env.app.emit('autodoc-before-process-signature', unwrapped, False)
-            sig = inspect.signature(unwrapped, bound_method=False)
-        else:
-            self.env.app.emit('autodoc-before-process-signature', unwrapped, True)
-            sig = inspect.signature(unwrapped, bound_method=True)
-        args = stringify_signature(sig, **kwargs)
+        try:
+            if self.object == object.__init__ and self.parent != object:
+                # Classes not having own __init__() method are shown as no arguments.
+                #
+                # Note: The signature of object.__init__() is (self, /, *args, **kwargs).
+                #       But it makes users confused.
+                args = '()'
+            else:
+                if inspect.isstaticmethod(unwrapped, cls=self.parent, name=self.object_name):
+                    self.env.app.emit('autodoc-before-process-signature', unwrapped, False)
+                    sig = inspect.signature(unwrapped, bound_method=False)
+                else:
+                    self.env.app.emit('autodoc-before-process-signature', unwrapped, True)
+                    sig = inspect.signature(unwrapped, bound_method=True)
+                args = stringify_signature(sig, **kwargs)
+        except ValueError:
+            args = ''
 
         if self.env.config.strip_signature_backslash:
             # escape backslashes for reST
diff --git a/tests/test_ext_autodoc.py b/tests/test_ext_autodoc.py
index 53d1c35ab..4d313c174 100644
--- a/tests/test_ext_autodoc.py
+++ b/tests/test_ext_autodoc.py
@@ -573,8 +573,8 @@ def test_autodoc_inherited_members_None(app):
 
     # check methods for object class are shown
     actual = do_autodoc(app, 'class', 'target.inheritance.Derived', options)
-    assert '   .. py:method:: Derived.__init__' in actual
-    assert '   .. py:method:: Derived.__str__' in actual
+    assert '   .. py:method:: Derived.__init__()' in actual
+    assert '   .. py:method:: Derived.__str__()' in actual
 
 
 @pytest.mark.sphinx('html', testroot='ext-autodoc')
@@ -1217,6 +1217,45 @@ def test_autofunction_for_method(app):
     ]
 
 
+@pytest.mark.sphinx('html', testroot='ext-autodoc')
+def test_autofunction_for_builtin(app):
+    actual = do_autodoc(app, 'function', 'os.umask')
+    assert list(actual) == [
+        '',
+        '.. py:function:: umask(mask, /)',
+        '   :module: os',
+        '',
+        '   Set the current numeric umask and return the previous umask.',
+        '',
+    ]
+
+
+@pytest.mark.sphinx('html', testroot='ext-autodoc')
+def test_autofunction_for_methoddescriptor(app):
+    actual = do_autodoc(app, 'function', 'builtins.int.__add__')
+    assert list(actual) == [
+        '',
+        '.. py:function:: int.__add__(self, value, /)',
+        '   :module: builtins',
+        '',
+        '   Return self+value.',
+        '',
+    ]
+
+
+@pytest.mark.sphinx('html', testroot='ext-autodoc')
+def test_automethod_for_builtin(app):
+    actual = do_autodoc(app, 'method', 'builtins.int.__add__')
+    assert list(actual) == [
+        '',
+        '.. py:method:: int.__add__(value, /)',
+        '   :module: builtins',
+        '',
+        '   Return self+value.',
+        '',
+    ]
+
+
 def test_abstractmethods(app):
     options = {"members": None,
                "undoc-members": None}