57077856 has 144 divisors (see below), whose sum is σ = 181621440. Its totient is φ = 16853760.

The previous prime is 57077833. The next prime is 57077869. The reversal of 57077856 is 65877075.

57077856 is a `hidden beast` number, since 570 + 7 + 78 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136015 + ... + 136433.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 2^57077856 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 57077856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90810720).

57077856 is an abundant number, since it is smaller than the sum of its proper divisors (124543584).

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

57077856 is a wasteful number, since it uses less digits than its factorization.

57077856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 57077856 is about 7554.9888153458. The cubic root of 57077856 is about 385.0252549914.

The spelling of 57077856 in words is "fifty-seven million, seventy-seven thousand, eight hundred fifty-six".