Very nice coin. I agree with the XF to AU assessments That said, I would get that coin into a protective holder. But if you must hold it physically, just do so by the edges--especially with a classic old coin that pristine.
Congrats on a nice old Half Dollar! IMHO, it is an EF-40 but has had an old cleaning. This would preclude it from receiving a true grade, if certified and graded and will effect the price, if resold. It does appear to be a Small "0" (zero in the Date) but does not appear to be a Large Date Variety which would make it very valuable even with an old cleaning.