57340800 has 288 divisors, whose sum is σ = 224438760. Its totient is φ = 13824000.

The previous prime is 57340769. The next prime is 57340819. The reversal of 57340800 is 804375.

57340800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316710 + ... + 316890.

Almost surely, 2^57340800 is an apocalyptic number.

57340800 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 57340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112219380).

57340800 is an abundant number, since it is smaller than the sum of its proper divisors (167097960).

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

57340800 is a wasteful number, since it uses less digits than its factorization.

57340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57340800 is about 7572.3708308561. The cubic root of 57340800 is about 385.6155890922.

The spelling of 57340800 in words is "fifty-seven million, three hundred forty thousand, eight hundred".