77057075077 has 2 divisors, whose sum is σ = 77057075078. Its totient is φ = 77057075076.

The previous prime is 77057075071. The next prime is 77057075101.

77057075077 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68225962401 + 8831112676 = 261201^2 + 93974^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77057075077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77057075071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38528537538 + 38528537539.

It is an arithmetic number, because the mean of its divisors is an integer number (38528537539).

Almost surely, 2^77057075077 is an apocalyptic number.

It is an amenable number.

77057075077 is a deficient number, since it is larger than the sum of its proper divisors (1).

77057075077 is an equidigital number, since it uses as much as digits as its factorization.

77057075077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2941225, while the sum is 52.

The spelling of 77057075077 in words is "seventy-seven billion, fifty-seven million, seventy-five thousand, seventy-seven".