113789760 has 336 divisors, whose sum is σ = 437814720. Its totient is φ = 24944640.

The previous prime is 113789743. The next prime is 113789807. The reversal of 113789760 is 67987311.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1928611 + ... + 1928669.

It is an arithmetic number, because the mean of its divisors is an integer number (1303020).

Almost surely, 2^113789760 is an apocalyptic number.

113789760 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 113789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218907360).

113789760 is an abundant number, since it is smaller than the sum of its proper divisors (324024960).

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

113789760 is a wasteful number, since it uses less digits than its factorization.

113789760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 113789760 is about 10667.2283185465. The cubic root of 113789760 is about 484.5825010926.

The spelling of 113789760 in words is "one hundred thirteen million, seven hundred eighty-nine thousand, seven hundred sixty".