763259080609 has 15 divisors (see below), whose sum is σ = 811230554773. Its totient is φ = 718123855648.

The previous prime is 763259080561. The next prime is 763259080663. The reversal of 763259080609 is 906080952367.

The square root of 763259080609 is 873647.

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

It can be written as a sum of positive squares in 2 ways, for example, as 236879810209 + 526379270400 = 486703^2 + 725520^2 .

It is a de Polignac number, because none of the positive numbers 2^k-763259080609 is a prime.

It is a super-3 number, since 3×763259080609³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 763259080609.

It is not an unprimeable number, because it can be changed into a prime (763259080679) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 252482472 + ... + 252485494.

Almost surely, 2^763259080609 is an apocalyptic number.

763259080609 is the 873647-th square number.

763259080609 is the 436824-th centered octagonal number.

It is an amenable number.

763259080609 is a deficient number, since it is larger than the sum of its proper divisors (47971474164).

763259080609 is an frugal number, since it uses more digits than its factorization.

763259080609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 763259080609 in words is "seven hundred sixty-three billion, two hundred fifty-nine million, eighty thousand, six hundred nine".