764233008 has 240 divisors, whose sum is σ = 2537694720. Its totient is φ = 195955200.

The previous prime is 764232979. The next prime is 764233037. The reversal of 764233008 is 800332467.

It is an interprime number because it is at equal distance from previous prime (764232979) and next prime (764233037).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 764233008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2819913 + ... + 2820183.

It is an arithmetic number, because the mean of its divisors is an integer number (10573728).

Almost surely, 2^764233008 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 764233008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268847360).

764233008 is an abundant number, since it is smaller than the sum of its proper divisors (1773461712).

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

764233008 is a wasteful number, since it uses less digits than its factorization.

764233008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 764233008 is about 27644.7645676356. The cubic root of 764233008 is about 914.2716721988.

The spelling of 764233008 in words is "seven hundred sixty-four million, two hundred thirty-three thousand, eight".