768783500809 has 9 divisors (see below), whose sum is σ = 779523946599. Its totient is φ = 758189090160.

The previous prime is 768783500791. The next prime is 768783500827. The reversal of 768783500809 is 908005387867.

The square root of 768783500809 is 876803.

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

It is an interprime number because it is at equal distance from previous prime (768783500791) and next prime (768783500827).

It can be written as a sum of positive squares in only one way, i.e., 436398966025 + 332384534784 = 660605^2 + 576528^2 .

It is a de Polignac number, because none of the positive numbers 2^k-768783500809 is a prime.

It is a super-2 number, since 2×768783500809² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (768783500509) 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, 64000614 + ... + 64012624.

Almost surely, 2^768783500809 is an apocalyptic number.

768783500809 is the 876803-rd square number.

768783500809 is the 438402-nd centered octagonal number.

It is an amenable number.

768783500809 is a deficient number, since it is larger than the sum of its proper divisors (10740445790).

768783500809 is an frugal number, since it uses more digits than its factorization.

768783500809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24168 (or 12084 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 768783500809 in words is "seven hundred sixty-eight billion, seven hundred eighty-three million, five hundred thousand, eight hundred nine".