764816976 has 240 divisors, whose sum is σ = 2785536000. Its totient is φ = 189953280.

The previous prime is 764816957. The next prime is 764816989. The reversal of 764816976 is 679618467.

It is a happy number.

764816976 is a `hidden beast` number, since 76 + 481 + 6 + 97 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 253525 + ... + 256523.

It is an arithmetic number, because the mean of its divisors is an integer number (11606400).

Almost surely, 2^764816976 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 764816976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392768000).

764816976 is an abundant number, since it is smaller than the sum of its proper divisors (2020719024).

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

764816976 is a wasteful number, since it uses less digits than its factorization.

764816976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3045 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 764816976 is about 27655.3245506177. The cubic root of 764816976 is about 914.5044849065.

The spelling of 764816976 in words is "seven hundred sixty-four million, eight hundred sixteen thousand, nine hundred seventy-six".