76557960 has 80 divisors (see below), whose sum is σ = 257330700. Its totient is φ = 20414592.

The previous prime is 76557959. The next prime is 76557991. The reversal of 76557960 is 6975567.

It is a happy number.

76557960 is a `hidden beast` number, since 7 + 6 + 557 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64738116 + 11819844 = 8046^2 + 3438^2 .

It is a super-2 number, since 2×76557960² = 11722242478723200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8575 + ... + 15054.

Almost surely, 2^76557960 is an apocalyptic number.

It is an amenable number.

76557960 is an abundant number, since it is smaller than the sum of its proper divisors (180772740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76557960 is a wasteful number, since it uses less digits than its factorization.

76557960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23652 (or 23639 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 76557960 is about 8749.7405675826. The cubic root of 76557960 is about 424.6164197663.

The spelling of 76557960 in words is "seventy-six million, five hundred fifty-seven thousand, nine hundred sixty".