57716400 has 120 divisors (see below), whose sum is σ = 211327744. Its totient is φ = 13190400.

The previous prime is 57716387. The next prime is 57716401. The reversal of 57716400 is 461775.

It is a happy number.

57716400 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57716401) 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, 4965 + ... + 11835.

Almost surely, 2^57716400 is an apocalyptic number.

57716400 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 57716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105663872).

57716400 is an abundant number, since it is smaller than the sum of its proper divisors (153611344).

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

57716400 is a wasteful number, since it uses less digits than its factorization.

57716400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6899 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 57716400 is about 7597.1310374378. The cubic root of 57716400 is about 386.4557245525.

The spelling of 57716400 in words is "fifty-seven million, seven hundred sixteen thousand, four hundred".