112796800 has 96 divisors (see below), whose sum is σ = 282208500. Its totient is φ = 44544000.

The previous prime is 112796791. The next prime is 112796809. The reversal of 112796800 is 8697211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112796791) and next prime (112796809).

It can be written as a sum of positive squares in 6 ways, for example, as 85673536 + 27123264 = 9256^2 + 5208^2 .

It is not an unprimeable number, because it can be changed into a prime (112796809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323026 + ... + 323374.

Almost surely, 2^112796800 is an apocalyptic number.

112796800 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 112796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141104250).

112796800 is an abundant number, since it is smaller than the sum of its proper divisors (169411700).

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

112796800 is a wasteful number, since it uses less digits than its factorization.

112796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 112796800 is about 10620.5837880975. The cubic root of 112796800 is about 483.1688487732.

The spelling of 112796800 in words is "one hundred twelve million, seven hundred ninety-six thousand, eight hundred".