772160 has 56 divisors (see below), whose sum is σ = 1950720. Its totient is φ = 290304.

The previous prime is 772159. The next prime is 772169. The reversal of 772160 is 61277.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (772169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6017 + ... + 6143.

2⁷⁷²¹⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975360).

772160 is an abundant number, since it is smaller than the sum of its proper divisors (1178560).

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

772160 is a wasteful number, since it uses less digits than its factorization.

772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 772160 is about 878.7263510331. The cubic root of 772160 is about 91.7421893679.

The spelling of 772160 in words is "seven hundred seventy-two thousand, one hundred sixty".