22878400 has 84 divisors (see below), whose sum is σ = 57322720. Its totient is φ = 8985600.

The previous prime is 22878377. The next prime is 22878407. The reversal of 22878400 is 487822.

It is not an unprimeable number, because it can be changed into a prime (22878407) 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, 126310 + ... + 126490.

Almost surely, 2^22878400 is an apocalyptic number.

22878400 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 22878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28661360).

22878400 is an abundant number, since it is smaller than the sum of its proper divisors (34444320).

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

22878400 is a wasteful number, since it uses less digits than its factorization.

22878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 22878400 is about 4783.1370459145. The cubic root of 22878400 is about 283.8846321068.

The spelling of 22878400 in words is "twenty-two million, eight hundred seventy-eight thousand, four hundred".