57882880 has 72 divisors (see below), whose sum is σ = 151288704. Its totient is φ = 21043200.

The previous prime is 57882863. The next prime is 57882887. The reversal of 57882880 is 8828875.

It is a self number, because there is not a number n which added to its sum of digits gives 57882880.

It is not an unprimeable number, because it can be changed into a prime (57882887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12025 + ... + 16135.

It is an arithmetic number, because the mean of its divisors is an integer number (2101232).

Almost surely, 2^57882880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75644352).

57882880 is an abundant number, since it is smaller than the sum of its proper divisors (93405824).

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

57882880 is a wasteful number, since it uses less digits than its factorization.

57882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 46.

The square root of 57882880 is about 7608.0799154583. The cubic root of 57882880 is about 386.8269384472.

It can be divided in two parts, 5788 and 2880, that added together give a palindrome (8668).

The spelling of 57882880 in words is "fifty-seven million, eight hundred eighty-two thousand, eight hundred eighty".