77757507876577 has 2 divisors, whose sum is σ = 77757507876578. Its totient is φ = 77757507876576.

The previous prime is 77757507876557. The next prime is 77757507876623. The reversal of 77757507876577 is 77567870575777.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77612593659601 + 144914216976 = 8809801^2 + 380676^2 .

It is a cyclic number.

It is not a de Polignac number, because 77757507876577 - 2³⁹ = 77207752062689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77757507876494 and 77757507876503.

It is not a weakly prime, because it can be changed into another prime (77757507876557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38878753938288 + 38878753938289.

It is an arithmetic number, because the mean of its divisors is an integer number (38878753938289).

Almost surely, 2^{77757507876577} is an apocalyptic number.

It is an amenable number.

77757507876577 is a deficient number, since it is larger than the sum of its proper divisors (1).

77757507876577 is an equidigital number, since it uses as much as digits as its factorization.

77757507876577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34588806000, while the sum is 85.

The spelling of 77757507876577 in words is "seventy-seven trillion, seven hundred fifty-seven billion, five hundred seven million, eight hundred seventy-six thousand, five hundred seventy-seven".