I need to download it for Python 2.7, but cannot find it ...
'pywin32' is its canonical name.
http://sourceforge.net/projects/pywin32/
There is a new option: get it through pip! There is a pypiwin32 package with wheels available, so you can simply install with: pip install pypiwin32 !
pip install pypiwin32
I found that UC Irvine has an excellent collection of python modules, pywin32 (win32api) is one of many listed there. I'm not sure how they handle the latest versions of these modules, but this has not failed me yet.
UC Irvine Python Extension Repository - http://www.lfd.uci.edu/~gohlke/pythonlibs
Pywin32 module - http://www.lfd.uci.edu/~gohlke/pythonlibs/#pywin32
http://sourceforge.net/projects/pywin32/files/ - third .exe down