52800 has 84 divisors (see below), whose sum is σ = 188976. Its totient is φ = 12800.

The previous prime is 52783. The next prime is 52807. The reversal of 52800 is 825.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 52800.

It is not an unprimeable number, because it can be changed into a prime (52807) by changing a digit.

52800 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 11 ways as a sum of consecutive naturals, for example, 4795 + ... + 4805.

2⁵²⁸⁰⁰ is an apocalyptic number.

52800 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 52800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94488).

52800 is an abundant number, since it is smaller than the sum of its proper divisors (136176).

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

52800 is a wasteful number, since it uses less digits than its factorization.

52800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 52800 is about 229.7825058615. The cubic root of 52800 is about 37.5155491073.

Multiplying 52800 by its reverse (825), we get a square (43560000 = 6600²).

52800 divided by its reverse (825) gives a 6-th power (64 = 2⁶).

The spelling of 52800 in words is "fifty-two thousand, eight hundred".