77864393601 has 36 divisors (see below), whose sum is σ = 118833188292. Its totient is φ = 49123107072.

The previous prime is 77864393573. The next prime is 77864393611. The reversal of 77864393601 is 10639346877.

77864393601 is a `hidden beast` number, since 77 + 86 + 439 + 3 + 60 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3629942001 + 74234451600 = 60249^2 + 272460^2 .

It is not a de Polignac number, because 77864393601 - 2⁵ = 77864393569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77864393611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3031525 + ... + 3057101.

It is an arithmetic number, because the mean of its divisors is an integer number (3300921897).

Almost surely, 2^77864393601 is an apocalyptic number.

It is an amenable number.

77864393601 is a deficient number, since it is larger than the sum of its proper divisors (40968794691).

77864393601 is a wasteful number, since it uses less digits than its factorization.

77864393601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26558 (or 26536 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 77864393601 in words is "seventy-seven billion, eight hundred sixty-four million, three hundred ninety-three thousand, six hundred one".