76777 has 2 divisors, whose sum is σ = 76778. Its totient is φ = 76776.

The previous prime is 76771. The next prime is 76781. The reversal of 76777 is 77767.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52441 + 24336 = 229^2 + 156^2 .

It is a cyclic number.

It is not a de Polignac number, because 76777 - 2⁷ = 76649 is a prime.

It is not a weakly prime, because it can be changed into another prime (76771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38388 + 38389.

It is an arithmetic number, because the mean of its divisors is an integer number (38389).

2⁷⁶⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

76777 is a deficient number, since it is larger than the sum of its proper divisors (1).

76777 is an equidigital number, since it uses as much as digits as its factorization.

76777 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14406, while the sum is 34.

The square root of 76777 is about 277.0866290531. The cubic root of 76777 is about 42.5020990889.

Subtracting 76777 from its reverse (77767), we obtain a triangular number (990 = T₄₄).

The spelling of 76777 in words is "seventy-six thousand, seven hundred seventy-seven".