22758400 has 132 divisors (see below), whose sum is σ = 64979968. Its totient is φ = 7741440.

The previous prime is 22758391. The next prime is 22758401. The reversal of 22758400 is 485722.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22758401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179137 + ... + 179263.

Almost surely, 2^22758400 is an apocalyptic number.

22758400 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 22758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32489984).

22758400 is an abundant number, since it is smaller than the sum of its proper divisors (42221568).

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

22758400 is a wasteful number, since it uses less digits than its factorization.

22758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 22758400 is about 4770.5764850802. The cubic root of 22758400 is about 283.3874252742.

The spelling of 22758400 in words is "twenty-two million, seven hundred fifty-eight thousand, four hundred".