The only dollar coins minted in 1877 were Trade Dollars, identifiable because they have those words on the back. If your coin has that wording, its value depends on the condition and mint mark: S...
Depending on condition, between about $21 in "Very Good" condition (which is a numismatic term of art meaning "not very good at all") to $62.50 in "Extremely Fine" (circulated, but with very little...