765984960 has 336 divisors, whose sum is σ = 2912364000. Its totient is φ = 183582720.

The previous prime is 765984959. The next prime is 765984977. The reversal of 765984960 is 69489567.

765984960 is a `hidden beast` number, since 7 + 6 + 598 + 49 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 765984897 and 765984906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1534791 + ... + 1535289.

It is an arithmetic number, because the mean of its divisors is an integer number (8667750).

Almost surely, 2^765984960 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 765984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456182000).

765984960 is an abundant number, since it is smaller than the sum of its proper divisors (2146379040).

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

765984960 is a wasteful number, since it uses less digits than its factorization.

765984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 765984960 is about 27676.4332962179. The cubic root of 765984960 is about 914.9697741516.

The spelling of 765984960 in words is "seven hundred sixty-five million, nine hundred eighty-four thousand, nine hundred sixty".