225766800 has 540 divisors, whose sum is σ = 981849856. Its totient is φ = 47001600.

The previous prime is 225766789. The next prime is 225766819. The reversal of 225766800 is 8667522.

225766800 is a `hidden beast` number, since 2 + 2 + 576 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7282785 + ... + 7282815.

Almost surely, 2^225766800 is an apocalyptic number.

225766800 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 225766800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490924928).

225766800 is an abundant number, since it is smaller than the sum of its proper divisors (756083056).

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

225766800 is a wasteful number, since it uses less digits than its factorization.

225766800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 225766800 is about 15025.5382599094. The cubic root of 225766800 is about 608.9103542810.

The spelling of 225766800 in words is "two hundred twenty-five million, seven hundred sixty-six thousand, eight hundred".