What kind of and how many pushups do you recommend?
I know trainers who let you do 100 (fast and minimal), others think 10 clean reps are enough.

The APFT perfect score is 77. So I guess that should be a good target.

I can do around 60 reps, 12 one armed on each side without time limit.
I still fail quite miserably at this. But not as miserable as I used to