764284752 has 360 divisors, whose sum is σ = 2789598240. Its totient is φ = 193052160.

The previous prime is 764284739. The next prime is 764284753. The reversal of 764284752 is 257482467.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 764284698 and 764284707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764284753) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3337374 + ... + 3337602.

It is an arithmetic number, because the mean of its divisors is an integer number (7748884).

Almost surely, 2^764284752 is an apocalyptic number.

764284752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764284752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394799120).

764284752 is an abundant number, since it is smaller than the sum of its proper divisors (2025313488).

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

764284752 is a wasteful number, since it uses less digits than its factorization.

764284752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 764284752 is about 27645.7004252017. The cubic root of 764284752 is about 914.2923059607.

The spelling of 764284752 in words is "seven hundred sixty-four million, two hundred eighty-four thousand, seven hundred fifty-two".