113762880 has 672 divisors, whose sum is σ = 532546560. Its totient is φ = 22394880.

The previous prime is 113762879. The next prime is 113762921. The reversal of 113762880 is 88267311.

113762880 is a `hidden beast` number, since 1 + 1 + 376 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 5987511 + ... + 5987529.

It is an arithmetic number, because the mean of its divisors is an integer number (792480).

Almost surely, 2^113762880 is an apocalyptic number.

113762880 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 113762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266273280).

113762880 is an abundant number, since it is smaller than the sum of its proper divisors (418783680).

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

113762880 is a wasteful number, since it uses less digits than its factorization.

113762880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 113762880 is about 10665.9683104723. The cubic root of 113762880 is about 484.5443412341.

It can be divided in two parts, 1 and 13762880, that added together give a triangular number (13762881 = T₅₂₄₆).

The spelling of 113762880 in words is "one hundred thirteen million, seven hundred sixty-two thousand, eight hundred eighty".