765819262321 has 9 divisors (see below), whose sum is σ = 768177913611. Its totient is φ = 763467839064.

The previous prime is 765819262291. The next prime is 765819262339. The reversal of 765819262321 is 123262918567.

The square root of 765819262321 is 875111.

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., 638898074721 + 126921187600 = 799311^2 + 356260^2 .

It is not a de Polignac number, because 765819262321 - 2⁵ = 765819262289 is a prime.

It is a super-2 number, since 2×765819262321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (2177280) is a multiple of the sum of its prime divisors (2688).

It is not an unprimeable number, because it can be changed into a prime (765819262361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 331665915 + ... + 331668223.

Almost surely, 2^765819262321 is an apocalyptic number.

765819262321 is the 875111-st square number.

765819262321 is the 437556-th centered octagonal number.

It is an amenable number.

765819262321 is a deficient number, since it is larger than the sum of its proper divisors (2358651290).

765819262321 is an frugal number, since it uses more digits than its factorization.

765819262321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376 (or 2688 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The spelling of 765819262321 in words is "seven hundred sixty-five billion, eight hundred nineteen million, two hundred sixty-two thousand, three hundred twenty-one".