22778800 has 120 divisors (see below), whose sum is σ = 61996032. Its totient is φ = 7968000.

The previous prime is 22778797. The next prime is 22778807. The reversal of 22778800 is 887722.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (22778807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136317 + ... + 136483.

Almost surely, 2^22778800 is an apocalyptic number.

22778800 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 22778800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30998016).

22778800 is an abundant number, since it is smaller than the sum of its proper divisors (39217232).

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

22778800 is a wasteful number, since it uses less digits than its factorization.

22778800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 22778800 is about 4772.7141125360. The cubic root of 22778800 is about 283.4720735359.

The spelling of 22778800 in words is "twenty-two million, seven hundred seventy-eight thousand, eight hundred".