22779680 has 144 divisors (see below), whose sum is σ = 68693184. Its totient is φ = 6935040.

The previous prime is 22779671. The next prime is 22779733. The reversal of 22779680 is 8697722.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529739 + ... + 529781.

It is an arithmetic number, because the mean of its divisors is an integer number (477036).

Almost surely, 2^22779680 is an apocalyptic number.

22779680 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 22779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34346592).

22779680 is an abundant number, since it is smaller than the sum of its proper divisors (45913504).

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

22779680 is a wasteful number, since it uses less digits than its factorization.

22779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 22779680 is about 4772.8063023760. The cubic root of 22779680 is about 283.4757238922.

The spelling of 22779680 in words is "twenty-two million, seven hundred seventy-nine thousand, six hundred eighty".