22776320 has 160 divisors (see below), whose sum is σ = 65995776. Its totient is φ = 7372800.

The previous prime is 22776319. The next prime is 22776323. The reversal of 22776320 is 2367722.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (22776323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555500 + ... + 555540.

Almost surely, 2^22776320 is an apocalyptic number.

22776320 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 22776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32997888).

22776320 is an abundant number, since it is smaller than the sum of its proper divisors (43219456).

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

22776320 is an equidigital number, since it uses as much as digits as its factorization.

22776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 22776320 is about 4772.4542952238. The cubic root of 22776320 is about 283.4617856621.

The spelling of 22776320 in words is "twenty-two million, seven hundred seventy-six thousand, three hundred twenty".