Most likely $20-$40 range? but there is a variety that is a 8 over a 7 (1808 over 1807) that is worth more, $100 to $200. Of course these are non dug prices so most dug coins are worth less. But congrats on finding such a early piece of American History, Can you get a pic of the back?
The reverse is not as in great shape as the obverse, but for 204 years old i bet i wouldn't be either! It's hard to tell looking at the reverse to clarify the variety but just by looking at the obverse where the 8 is higher then the rest of the date that tells me its a Cohen 3. The Cohen 1 and Cohen 2 which has the 8 over 7, has the numbers in the date somewhat all straight a crossed. Again congrats on the Half-Cent!