56800800 has 432 divisors, whose sum is σ = 243734400. Its totient is φ = 12418560.

The previous prime is 56800771. The next prime is 56800811. The reversal of 56800800 is 800865.

It is a zygodrome in base 14.

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 71 ways as a sum of consecutive naturals, for example, 2469589 + ... + 2469611.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 2^56800800 is an apocalyptic number.

56800800 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 56800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

56800800 is an abundant number, since it is smaller than the sum of its proper divisors (186933600).

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

56800800 is a wasteful number, since it uses less digits than its factorization.

56800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 56800800 is about 7536.6305468691. The cubic root of 56800800 is about 384.4012732388.

It can be divided in two parts, 56800 and 800, that added together give a square (57600 = 240²).

The spelling of 56800800 in words is "fifty-six million, eight hundred thousand, eight hundred".