57776820 has 48 divisors (see below), whose sum is σ = 163363200. Its totient is φ = 15255936.

The previous prime is 57776819. The next prime is 57776827. The reversal of 57776820 is 2867775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57776827) 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, 1506 + ... + 10854.

It is an arithmetic number, because the mean of its divisors is an integer number (3403400).

Almost surely, 2^57776820 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 57776820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81681600).

57776820 is an abundant number, since it is smaller than the sum of its proper divisors (105586380).

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

57776820 is a wasteful number, since it uses less digits than its factorization.

57776820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9464 (or 9462 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 57776820 is about 7601.1064983988. The cubic root of 57776820 is about 386.5905303258.

The spelling of 57776820 in words is "fifty-seven million, seven hundred seventy-six thousand, eight hundred twenty".