77557275577 has 16 divisors (see below), whose sum is σ = 84965101200. Its totient is φ = 70466457600.

The previous prime is 77557275563. The next prime is 77557275583.

77557275577 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 6899129721 + 70658145856 = 83061^2 + 265816^2 .

It is a cyclic number.

It is not a de Polignac number, because 77557275577 - 2¹⁵ = 77557242809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77557275527) 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, 4873249 + ... + 4889137.

It is an arithmetic number, because the mean of its divisors is an integer number (5310318825).

Almost surely, 2^77557275577 is an apocalyptic number.

It is an amenable number.

77557275577 is a deficient number, since it is larger than the sum of its proper divisors (7407825623).

77557275577 is a wasteful number, since it uses less digits than its factorization.

77557275577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25836.

The product of its digits is 147061250, while the sum is 64.

The spelling of 77557275577 in words is "seventy-seven billion, five hundred fifty-seven million, two hundred seventy-five thousand, five hundred seventy-seven".