113794800 has 480 divisors, whose sum is σ = 472350720. Its totient is φ = 22809600.

The previous prime is 113794783. The next prime is 113794817. The reversal of 113794800 is 8497311.

It is an interprime number because it is at equal distance from previous prime (113794783) and next prime (113794817).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3670785 + ... + 3670815.

It is an arithmetic number, because the mean of its divisors is an integer number (984064).

Almost surely, 2^113794800 is an apocalyptic number.

113794800 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 113794800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236175360).

113794800 is an abundant number, since it is smaller than the sum of its proper divisors (358555920).

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

113794800 is a wasteful number, since it uses less digits than its factorization.

113794800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 113794800 is about 10667.4645534916. The cubic root of 113794800 is about 484.5896553970.

The spelling of 113794800 in words is "one hundred thirteen million, seven hundred ninety-four thousand, eight hundred".