77616160677 has 48 divisors (see below), whose sum is σ = 123767092800. Its totient is φ = 46478234880.

The previous prime is 77616160667. The next prime is 77616160681. The reversal of 77616160677 is 77606161677.

77616160677 is a `hidden beast` number, since 7 + 7 + 616 + 16 + 0 + 6 + 7 + 7 = 666.

It is not a de Polignac number, because 77616160677 - 2¹⁴ = 77616144293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77616160667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18351199 + ... + 18355427.

It is an arithmetic number, because the mean of its divisors is an integer number (2578481100).

Almost surely, 2^77616160677 is an apocalyptic number.

It is an amenable number.

77616160677 is a deficient number, since it is larger than the sum of its proper divisors (46150932123).

77616160677 is a wasteful number, since it uses less digits than its factorization.

77616160677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6418 (or 6415 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 77616160677 in words is "seventy-seven billion, six hundred sixteen million, one hundred sixty thousand, six hundred seventy-seven".