766092768 has 192 divisors, whose sum is σ = 2503872000. Its totient is φ = 200116224.

The previous prime is 766092731. The next prime is 766092781. The reversal of 766092768 is 867290667.

766092768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 766092768.

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, 369238 + ... + 371306.

It is an arithmetic number, because the mean of its divisors is an integer number (13041000).

Almost surely, 2^766092768 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 766092768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251936000).

766092768 is an abundant number, since it is smaller than the sum of its proper divisors (1737779232).

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

766092768 is a wasteful number, since it uses less digits than its factorization.

766092768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 766092768 is about 27678.3808775008. The cubic root of 766092768 is about 915.0126977246.

The spelling of 766092768 in words is "seven hundred sixty-six million, ninety-two thousand, seven hundred sixty-eight".