77924677642977 has 32 divisors (see below), whose sum is σ = 113953885194240. Its totient is φ = 46973769750720.

The previous prime is 77924677642969. The next prime is 77924677642991.

77924677642977 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 77924677642977 - 2³ = 77924677642969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77924677642977.

It is not an unprimeable number, because it can be changed into a prime (77924677642177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2777163 + ... + 12789135.

It is an arithmetic number, because the mean of its divisors is an integer number (3561058912320).

Almost surely, 2^{77924677642977} is an apocalyptic number.

It is an amenable number.

77924677642977 is a deficient number, since it is larger than the sum of its proper divisors (36029207551263).

77924677642977 is a wasteful number, since it uses less digits than its factorization.

77924677642977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10013253.

The product of its digits is 21956126976, while the sum is 84.

The spelling of 77924677642977 in words is "seventy-seven trillion, nine hundred twenty-four billion, six hundred seventy-seven million, six hundred forty-two thousand, nine hundred seventy-seven".