764252496 has 120 divisors (see below), whose sum is σ = 2535018304. Its totient is φ = 218350080.

The previous prime is 764252479. The next prime is 764252497. The reversal of 764252496 is 694252467.

764252496 is a `hidden beast` number, since 76 + 42 + 52 + 496 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764252497) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13176 + ... + 41256.

Almost surely, 2^764252496 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 764252496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267509152).

764252496 is an abundant number, since it is smaller than the sum of its proper divisors (1770765808).

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

764252496 is a wasteful number, since it uses less digits than its factorization.

764252496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28111 (or 28093 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 764252496 is about 27645.1170371912. The cubic root of 764252496 is about 914.2794434652.

The spelling of 764252496 in words is "seven hundred sixty-four million, two hundred fifty-two thousand, four hundred ninety-six".