766680960 has 256 divisors, whose sum is σ = 2627976960. Its totient is φ = 189431808.

The previous prime is 766680953. The next prime is 766681007. The reversal of 766680960 is 69086667.

It is a happy number.

766680960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2708979 + ... + 2709261.

It is an arithmetic number, because the mean of its divisors is an integer number (10265535).

Almost surely, 2^766680960 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 766680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313988480).

766680960 is an abundant number, since it is smaller than the sum of its proper divisors (1861296000).

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

766680960 is a wasteful number, since it uses less digits than its factorization.

766680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 766680960 is about 27689.0043157929. The cubic root of 766680960 is about 915.2468144831.

The spelling of 766680960 in words is "seven hundred sixty-six million, six hundred eighty thousand, nine hundred sixty".