22800080 has 40 divisors (see below), whose sum is σ = 53544192. Its totient is φ = 9028224.

The previous prime is 22800073. The next prime is 22800091. The reversal of 22800080 is 8000822.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6857 + ... + 9623.

Almost surely, 2^22800080 is an apocalyptic number.

22800080 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 22800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26772096).

22800080 is an abundant number, since it is smaller than the sum of its proper divisors (30744112).

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

22800080 is a wasteful number, since it uses less digits than its factorization.

22800080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 22800080 is about 4774.9429315961. The cubic root of 22800080 is about 283.5603194523.

It can be divided in two parts, 2 and 2800080, that added together give a palindrome (2800082).

The spelling of 22800080 in words is "twenty-two million, eight hundred thousand, eighty".