56710800 has 240 divisors, whose sum is σ = 207576000. Its totient is φ = 14699520.

The previous prime is 56710781. The next prime is 56710813. The reversal of 56710800 is 801765.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×56710800² = 6432229673280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637156 + ... + 637244.

It is an arithmetic number, because the mean of its divisors is an integer number (864900).

Almost surely, 2^56710800 is an apocalyptic number.

56710800 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 56710800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103788000).

56710800 is an abundant number, since it is smaller than the sum of its proper divisors (150865200).

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

56710800 is a wasteful number, since it uses less digits than its factorization.

56710800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 56710800 is about 7530.6573418261. The cubic root of 56710800 is about 384.1981399318.

The spelling of 56710800 in words is "fifty-six million, seven hundred ten thousand, eight hundred".