22782800 has 30 divisors (see below), whose sum is σ = 54736638. Its totient is φ = 9112960.

The previous prime is 22782797. The next prime is 22782803. The reversal of 22782800 is 828722.

It is an interprime number because it is at equal distance from previous prime (22782797) and next prime (22782803).

It can be written as a sum of positive squares in 3 ways, for example, as 10816 + 22771984 = 104^2 + 4772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22782803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28079 + ... + 28878.

Almost surely, 2^22782800 is an apocalyptic number.

22782800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22782800 is an abundant number, since it is smaller than the sum of its proper divisors (31953838).

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

22782800 is a wasteful number, since it uses less digits than its factorization.

22782800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56975 (or 56964 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 22782800 is about 4773.1331429157. The cubic root of 22782800 is about 283.4886653073.

The spelling of 22782800 in words is "twenty-two million, seven hundred eighty-two thousand, eight hundred".