765319072 has 96 divisors (see below), whose sum is σ = 1788272640. Its totient is φ = 315498240.

The previous prime is 765319033. The next prime is 765319081. The reversal of 765319072 is 270913567.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2131629 + ... + 2131987.

It is an arithmetic number, because the mean of its divisors is an integer number (18627840).

Almost surely, 2^765319072 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 765319072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894136320).

765319072 is an abundant number, since it is smaller than the sum of its proper divisors (1022953568).

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

765319072 is a wasteful number, since it uses less digits than its factorization.

765319072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The square root of 765319072 is about 27664.4008068131. The cubic root of 765319072 is about 914.7045626657.

The spelling of 765319072 in words is "seven hundred sixty-five million, three hundred nineteen thousand, seventy-two".