765960 has 64 divisors (see below), whose sum is σ = 2479680. Its totient is φ = 188160.

The previous prime is 765953. The next prime is 765971. The reversal of 765960 is 69567.

It is an unprimeable number.

765960 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1315 + ... + 1805.

It is an arithmetic number, because the mean of its divisors is an integer number (38745).

2⁷⁶⁵⁹⁶⁰ 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 765960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239840).

765960 is an abundant number, since it is smaller than the sum of its proper divisors (1713720).

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

765960 is a wasteful number, since it uses less digits than its factorization.

765960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 765960 is about 875.1914076361. The cubic root of 765960 is about 91.4959835796.

The spelling of 765960 in words is "seven hundred sixty-five thousand, nine hundred sixty".