Your coin appears to be genuine. I would grade it MS Details cleaned. It is a type 1 reverse and type 1 obverse. The coin reverse was made from a hub that was used from 73 to 76. Note the top of the E and F do not connect. Here is a photo of a 1876 PCGS MS63 with the same reverse.
PCGS MS63 1876

OP Coin

PCGS MS63 1876

OP Coin






















