N768 is taken. It's currently assigned to a 1952 Dehavilland BEAVER DHC-2 MK.1 registered in Kerhonkson, NY.
See the full aircraft record →A tail number only frees up if the owner deregisters the aircraft or moves it to a different N-number — and even then the FAA holds it before releasing it to the public.
N768 has been worn before. Past registrations from FAA deregistration records:
Tails one nudge away from N768 that aren't assigned or reserved: