765296896 has 243 divisors, whose sum is σ = 2030821821. Its totient is φ = 286820352.

The previous prime is 765296893. The next prime is 765296927. The reversal of 765296896 is 698692567.

The square root of 765296896 is 27664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 113209600 + 652087296 = 10640^2 + 25536^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 765296896.

It is not an unprimeable number, because it can be changed into a prime (765296893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40278775 + ... + 40278793.

Almost surely, 2^765296896 is an apocalyptic number.

765296896 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

765296896 is the 27664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765296896

765296896 is an abundant number, since it is smaller than the sum of its proper divisors (1265524925).

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

765296896 is a wasteful number, since it uses less digits than its factorization.

765296896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 58.

The cubic root of 765296896 is about 914.6957277082.

It can be divided in two parts, 76 and 5296896, that multiplied together give a square (402564096 = 20064²).

The spelling of 765296896 in words is "seven hundred sixty-five million, two hundred ninety-six thousand, eight hundred ninety-six".