22782720 has 144 divisors (see below), whose sum is σ = 77263200. Its totient is φ = 5701632.

The previous prime is 22782667. The next prime is 22782743. The reversal of 22782720 is 2728722.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65106 + ... + 65454.

It is an arithmetic number, because the mean of its divisors is an integer number (536550).

Almost surely, 2^22782720 is an apocalyptic number.

22782720 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 22782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38631600).

22782720 is an abundant number, since it is smaller than the sum of its proper divisors (54480480).

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

22782720 is a wasteful number, since it uses less digits than its factorization.

22782720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 22782720 is about 4773.1247626686. The cubic root of 22782720 is about 283.4883334909.

The spelling of 22782720 in words is "twenty-two million, seven hundred eighty-two thousand, seven hundred twenty".