120777160 has 64 divisors (see below), whose sum is σ = 316944000. Its totient is φ = 41404608.

The previous prime is 120777157. The next prime is 120777211. The reversal of 120777160 is 61777021.

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, 9319 + ... + 18121.

It is an arithmetic number, because the mean of its divisors is an integer number (4952250).

Almost surely, 2^120777160 is an apocalyptic number.

120777160 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 120777160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158472000).

120777160 is an abundant number, since it is smaller than the sum of its proper divisors (196166840).

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

120777160 is an equidigital number, since it uses as much as digits as its factorization.

120777160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8835 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 31.

The square root of 120777160 is about 10989.8662412242. The cubic root of 120777160 is about 494.3049251971.

The spelling of 120777160 in words is "one hundred twenty million, seven hundred seventy-seven thousand, one hundred sixty".