120815760 has 80 divisors (see below), whose sum is σ = 403349184. Its totient is φ = 29738496.

The previous prime is 120815749. The next prime is 120815771. The reversal of 120815760 is 67518021.

It is an interprime number because it is at equal distance from previous prime (120815749) and next prime (120815771).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16242 + ... + 22481.

Almost surely, 2^120815760 is an apocalyptic number.

120815760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120815760 is an abundant number, since it is smaller than the sum of its proper divisors (282533424).

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

120815760 is a wasteful number, since it uses less digits than its factorization.

120815760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38752 (or 38746 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 120815760 is about 10991.6222642520. The cubic root of 120815760 is about 494.3575790207.

The spelling of 120815760 in words is "one hundred twenty million, eight hundred fifteen thousand, seven hundred sixty".