56740800 has 84 divisors (see below), whose sum is σ = 186172856. Its totient is φ = 15129600.

The previous prime is 56740777. The next prime is 56740807. The reversal of 56740800 is 804765.

It is a happy number.

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 (56740807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1111 + ... + 10710.

Almost surely, 2^56740800 is an apocalyptic number.

56740800 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 56740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93086428).

56740800 is an abundant number, since it is smaller than the sum of its proper divisors (129432056).

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

56740800 is a wasteful number, since it uses less digits than its factorization.

56740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11846 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 56740800 is about 7532.6489364632. The cubic root of 56740800 is about 384.2658748982.

The spelling of 56740800 in words is "fifty-six million, seven hundred forty thousand, eight hundred".