77975257977 has 24 divisors (see below), whose sum is σ = 119576086344. Its totient is φ = 48794448384.

The previous prime is 77975257967. The next prime is 77975258089.

77975257977 is a `hidden beast` number, since 7 + 7 + 9 + 7 + 525 + 7 + 97 + 7 = 666.

77975257977 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 34248684096 + 43726573881 = 185064^2 + 209109^2 .

It is not a de Polignac number, because 77975257977 - 2⁷ = 77975257849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77975257907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626098 + ... + 740235.

It is an arithmetic number, because the mean of its divisors is an integer number (4982336931).

Almost surely, 2^77975257977 is an apocalyptic number.

It is an amenable number.

77975257977 is a deficient number, since it is larger than the sum of its proper divisors (41600828367).

77975257977 is a wasteful number, since it uses less digits than its factorization.

77975257977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366729 (or 1366726 counting only the distinct ones).

The product of its digits is 476478450, while the sum is 72.

The spelling of 77975257977 in words is "seventy-seven billion, nine hundred seventy-five million, two hundred fifty-seven thousand, nine hundred seventy-seven".