112757760 has 132 divisors (see below), whose sum is σ = 390862368. Its totient is φ = 30056448.

The previous prime is 112757699. The next prime is 112757783. The reversal of 112757760 is 67757211.

112757760 is a `hidden beast` number, since 1 + 1 + 27 + 577 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44857 + ... + 47303.

Almost surely, 2^112757760 is an apocalyptic number.

112757760 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 112757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195431184).

112757760 is an abundant number, since it is smaller than the sum of its proper divisors (278104608).

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

112757760 is a wasteful number, since it uses less digits than its factorization.

112757760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 112757760 is about 10618.7456886395. The cubic root of 112757760 is about 483.1130992942.

The spelling of 112757760 in words is "one hundred twelve million, seven hundred fifty-seven thousand, seven hundred sixty".