768960 has 112 divisors (see below), whose sum is σ = 2743200. Its totient is φ = 202752.

The previous prime is 768953. The next prime is 768979. The reversal of 768960 is 69867.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

768960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8596 + ... + 8684.

2⁷⁶⁸⁹⁶⁰ 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 768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371600).

768960 is an abundant number, since it is smaller than the sum of its proper divisors (1974240).

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

768960 is a wasteful number, since it uses less digits than its factorization.

768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 768960 is about 876.9036435094. The cubic root of 768960 is about 91.6152806579.

It can be divided in two parts, 768 and 960, that added together give a cube (1728 = 12³).

The spelling of 768960 in words is "seven hundred sixty-eight thousand, nine hundred sixty".