Turn on, Shut off?

How long have you had your player and did it start behaving unpredicatably little by little or all at once?

If it happened all at once, what did you do just before the behavior started?  Any physical impact?  What files did you transfer to the player or other changes did you make?  If you recall, try reversing your steps.

What does the battery charge indicate?  And how many bytes of free space do you have on the internal drive?  Go to Settings -> System Settings -> Info and read the Memory and Free (directly thereunder) figures.  If the number to the right of the first or only Free is a single digit, try releasing about 50 to 100 MB by deleting files.

And as an aside, which firmware version are you using (displayed in the Info window as well)?

Do you have a microSD card in the external drive?  If so, try removing it.

If all else fails, try reformatting the player and re-installing the latest firmware.

I make the suggestions with the assumption that you can still revive your player at the least “after about the 7th time.”

Short of resolving the issue outright, your first steps should be to try to isolate the problem to the extent you can so that you can dismiss possible causes.