22800 has 60 divisors (see below), whose sum is σ = 76880. Its totient is φ = 5760.

The previous prime is 22787. The next prime is 22807. The reversal of 22800 is 822.

22800 is nontrivially palindromic in base 7, base 9 and base 14.

It is a Cunningham number, because it is equal to 151²-1.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (22807) by changing a digit.

22800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1191 + ... + 1209.

2²²⁸⁰⁰ is an apocalyptic number.

22800 is a gapful number since it is divisible by the number (20) 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 22800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38440).

22800 is an abundant number, since it is smaller than the sum of its proper divisors (54080).

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

22800 is a wasteful number, since it uses less digits than its factorization.

22800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 22800 is about 150.9966887054. The cubic root of 22800 is about 28.3559987804.

The spelling of 22800 in words is "twenty-two thousand, eight hundred".