57220800 has 336 divisors, whose sum is σ = 232818432. Its totient is φ = 11980800.

The previous prime is 57220783. The next prime is 57220819. The reversal of 57220800 is 802275.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 436735 + ... + 436865.

It is an arithmetic number, because the mean of its divisors is an integer number (692912).

Almost surely, 2^57220800 is an apocalyptic number.

57220800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116409216).

57220800 is an abundant number, since it is smaller than the sum of its proper divisors (175597632).

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

57220800 is a wasteful number, since it uses less digits than its factorization.

57220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 57220800 is about 7564.4431387909. The cubic root of 57220800 is about 385.3464021248.

The spelling of 57220800 in words is "fifty-seven million, two hundred twenty thousand, eight hundred".