112756800 has 252 divisors, whose sum is σ = 403463760. Its totient is φ = 27555840.

The previous prime is 112756799. The next prime is 112756817. The reversal of 112756800 is 8657211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 811131 + ... + 811269.

Almost surely, 2^112756800 is an apocalyptic number.

112756800 is a gapful number since it is divisible by the number (10) 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 112756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201731880).

112756800 is an abundant number, since it is smaller than the sum of its proper divisors (290706960).

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

112756800 is a wasteful number, since it uses less digits than its factorization.

112756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 112756800 is about 10618.7004854643. The cubic root of 112756800 is about 483.1117282433. Note that the first 3 decimals are identical.

The spelling of 112756800 in words is "one hundred twelve million, seven hundred fifty-six thousand, eight hundred".