57786880 has 40 divisors (see below), whose sum is σ = 138559212. Its totient is φ = 23113728.

The previous prime is 57786871. The next prime is 57786889. The reversal of 57786880 is 8868775.

It is an interprime number because it is at equal distance from previous prime (57786871) and next prime (57786889).

It can be written as a sum of positive squares in 2 ways, for example, as 51151104 + 6635776 = 7152^2 + 2576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (57786889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8727 + ... + 13846.

Almost surely, 2^57786880 is an apocalyptic number.

It is an amenable number.

57786880 is an abundant number, since it is smaller than the sum of its proper divisors (80772332).

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

57786880 is an equidigital number, since it uses as much as digits as its factorization.

57786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22596 (or 22580 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 49.

The square root of 57786880 is about 7601.7682153562. The cubic root of 57786880 is about 386.6129665153.

The spelling of 57786880 in words is "fifty-seven million, seven hundred eighty-six thousand, eight hundred eighty".