TV Turns on by itself in early A.M.

Do you have it plugged into a surge protector? If not get one, if it’s an old one get a new one it could be going bad replace it.
If that’s not the problem disconnect the tv from the cable box before you go to bed see if that works.

If that doesn’t work unplug the tv before you go to bed. That should stop the problem.
If not then start worrying about space aliens or poltergeists!