You can use Tommynation alternate 2 to install. http://tommynation.com/install-quicktime-windows-10/
Download 7.7.8 from Apple site. Unzip the APPLE install file or if you don't have or want one of the unzip programs that can do the exe files, you can run the apple install until you see the message about about not Windows Vista or Windows 7. At that point the files have been all unzipped to a temp directory in your temp directory. Copy these files to a new directory C:\QT and then click Ok on the install window.
Download Tommy's transform file http://tommynation.com/wp-content/uploads/2015/07/FIX.zip and copy the mst file in it to your c:\QT directory.
Open Command prompt as admin. cd \QT then Run the Msinstaller as follows.
msiexec /i QuickTime.msi /qn TRANSFORMS=FIX.mst ALLUSERS=1 /log C:\QT\install.log
Install is now complete for Quicktime itself. To make sure all the pieces install you could click the other MSi files but I suggest actually running the Apple install again and tell it to repair the install.