57756400 has 120 divisors (see below), whose sum is σ = 154990080. Its totient is φ = 20536320.

The previous prime is 57756343. The next prime is 57756401. The reversal of 57756400 is 465775.

57756400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57756401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 150609 + ... + 150991.

It is an arithmetic number, because the mean of its divisors is an integer number (1291584).

Almost surely, 2^57756400 is an apocalyptic number.

57756400 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 57756400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495040).

57756400 is an abundant number, since it is smaller than the sum of its proper divisors (97233680).

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

57756400 is a wasteful number, since it uses less digits than its factorization.

57756400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 57756400 is about 7599.7631542042. The cubic root of 57756400 is about 386.5449808660.

The spelling of 57756400 in words is "fifty-seven million, seven hundred fifty-six thousand, four hundred".