766264320 has 352 divisors, whose sum is σ = 2853354240. Its totient is φ = 194641920.

The previous prime is 766264313. The next prime is 766264321. The reversal of 766264320 is 23462667.

It is a happy number.

766264320 is a `hidden beast` number, since 7 + 6 + 6 + 2 + 643 + 2 + 0 = 666.

It is a super-2 number, since 2×766264320² = 1174322016210124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (766264321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3179400 + ... + 3179640.

It is an arithmetic number, because the mean of its divisors is an integer number (8106120).

Almost surely, 2^766264320 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 766264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426677120).

766264320 is an abundant number, since it is smaller than the sum of its proper divisors (2087089920).

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

766264320 is a wasteful number, since it uses less digits than its factorization.

766264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 766264320 is about 27681.4797292341. The cubic root of 766264320 is about 915.0809925619.

The spelling of 766264320 in words is "seven hundred sixty-six million, two hundred sixty-four thousand, three hundred twenty".