56800 has 36 divisors (see below), whose sum is σ = 140616. Its totient is φ = 22400.

The previous prime is 56783. The next prime is 56807. The reversal of 56800 is 865.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56807) by changing a digit.

56800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 765 + ... + 835.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

2⁵⁶⁸⁰⁰ is an apocalyptic number.

56800 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 56800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308).

56800 is an abundant number, since it is smaller than the sum of its proper divisors (83816).

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

56800 is a wasteful number, since it uses less digits than its factorization.

56800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 56800 is about 238.3275057563. The cubic root of 56800 is about 38.4399468555.

The spelling of 56800 in words is "fifty-six thousand, eight hundred".