57776880 has 240 divisors, whose sum is σ = 221369760. Its totient is φ = 12429312.

The previous prime is 57776833. The next prime is 57776893. The reversal of 57776880 is 8867775.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3398632 + ... + 3398648.

It is an arithmetic number, because the mean of its divisors is an integer number (922374).

Almost surely, 2^57776880 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 57776880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110684880).

57776880 is an abundant number, since it is smaller than the sum of its proper divisors (163592880).

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

57776880 is a wasteful number, since it uses less digits than its factorization.

57776880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The square root of 57776880 is about 7601.1104451915. The cubic root of 57776880 is about 386.5906641478.

The spelling of 57776880 in words is "fifty-seven million, seven hundred seventy-six thousand, eight hundred eighty".