112790800 has 60 divisors (see below), whose sum is σ = 278340196. Its totient is φ = 43891200.

The previous prime is 112790791. The next prime is 112790851. The reversal of 112790800 is 8097211.

It can be written as a sum of positive squares in 6 ways, for example, as 10214416 + 102576384 = 3196^2 + 10128^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10990 + ... + 18610.

Almost surely, 2^112790800 is an apocalyptic number.

112790800 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 112790800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139170098).

112790800 is an abundant number, since it is smaller than the sum of its proper divisors (165549396).

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

112790800 is a wasteful number, since it uses less digits than its factorization.

112790800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7676 (or 7665 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 112790800 is about 10620.3013139929. The cubic root of 112790800 is about 483.1602815547.

The spelling of 112790800 in words is "one hundred twelve million, seven hundred ninety thousand, eight hundred".