77675057677 has 16 divisors (see below), whose sum is σ = 90101088000. Its totient is φ = 65588054400.

The previous prime is 77675057657. The next prime is 77675057693.

77675057677 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 77675057677 - 2⁷ = 77675057549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77675057657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135352 + ... + 416737.

It is an arithmetic number, because the mean of its divisors is an integer number (5631318000).

Almost surely, 2^77675057677 is an apocalyptic number.

It is an amenable number.

77675057677 is a deficient number, since it is larger than the sum of its proper divisors (12426030323).

77675057677 is a wasteful number, since it uses less digits than its factorization.

77675057677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552396.

The product of its (nonzero) digits is 105884100, while the sum is 64.

The spelling of 77675057677 in words is "seventy-seven billion, six hundred seventy-five million, fifty-seven thousand, six hundred seventy-seven".