113779920 has 160 divisors (see below), whose sum is σ = 373976064. Its totient is φ = 28569600.

The previous prime is 113779901. The next prime is 113779931. The reversal of 113779920 is 29977311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304854 + ... + 305226.

Almost surely, 2^113779920 is an apocalyptic number.

113779920 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 113779920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186988032).

113779920 is an abundant number, since it is smaller than the sum of its proper divisors (260196144).

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

113779920 is a wasteful number, since it uses less digits than its factorization.

113779920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 113779920 is about 10666.7670828607. The cubic root of 113779920 is about 484.5685325560.

The spelling of 113779920 in words is "one hundred thirteen million, seven hundred seventy-nine thousand, nine hundred twenty".