120707760 has 160 divisors (see below), whose sum is σ = 399260160. Its totient is φ = 30081024.

The previous prime is 120707759. The next prime is 120707771. The reversal of 120707760 is 67707021.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 469552 + ... + 469808.

It is an arithmetic number, because the mean of its divisors is an integer number (2495376).

Almost surely, 2^120707760 is an apocalyptic number.

120707760 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 120707760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199630080).

120707760 is an abundant number, since it is smaller than the sum of its proper divisors (278552400).

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

120707760 is a wasteful number, since it uses less digits than its factorization.

120707760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 120707760 is about 10986.7083332543. The cubic root of 120707760 is about 494.2102292172.

The spelling of 120707760 in words is "one hundred twenty million, seven hundred seven thousand, seven hundred sixty".