768160 has 24 divisors (see below), whose sum is σ = 1815156. Its totient is φ = 307200.

The previous prime is 768139. The next prime is 768161. The reversal of 768160 is 61867.

It can be written as a sum of positive squares in 2 ways, for example, as 767376 + 784 = 876^2 + 28^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (768161) by changing a digit.

768160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2241 + ... + 2560.

2⁷⁶⁸¹⁶⁰ is an apocalyptic number.

It is an amenable number.

768160 is an abundant number, since it is smaller than the sum of its proper divisors (1046996).

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

768160 is a wasteful number, since it uses less digits than its factorization.

768160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 768160 is about 876.4473743471. The cubic root of 768160 is about 91.5834984863.

The spelling of 768160 in words is "seven hundred sixty-eight thousand, one hundred sixty".