Could a virus be preventing me from installing an Anti-virus? My Nexus 7 has recently been behaving oddly (closing apps unexpectedly for example).
I figured I would install Lookout on my device, and tried to download it twice, it seems to download but after the download is finished the app isn't there and the play store has an Install button again. I'm trying to download AVG anti-virus remotely (from the play store with the "install to device" button.

If that doesn't work, what else can I do?

EDIT:
"Remote Install" did work. No virus was found. What else might cause apps to close randomly? Especially weird was any time I tried to go to Settings > Running Apps it would boot me out to the home screen. Now it's not doing that. Could there have been a virus that was ONLY in RAM?
If your device is not Rooted, it would be impossible for an App to block installation of another app.  If it is rooted, this is possible (anything is possible), but still very unlikely.

Bottom line, it is very, very unlikely that malicious software is blocking installation from the Play Store.

Things to try:


Try to install it directly on the device (ie. don't push from Web).
Clear the cache and data for the Play Store App