768799283344 has 135 divisors (see below), whose sum is σ = 1602771042483. Its totient is φ = 357192165312.

The previous prime is 768799283339. The next prime is 768799283359. The reversal of 768799283344 is 443382997867.

It is a happy number.

The square root of 768799283344 is 876812.

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

Its product of digits (438939648) is a multiple of the sum of its prime divisors (243).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5530930027 + ... + 5530930165.

Almost surely, 2^768799283344 is an apocalyptic number.

768799283344 is the 876812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768799283344

768799283344 is an abundant number, since it is smaller than the sum of its proper divisors (833971759139).

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

768799283344 is an equidigital number, since it uses as much as digits as its factorization.

768799283344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 243 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 70.

The spelling of 768799283344 in words is "seven hundred sixty-eight billion, seven hundred ninety-nine million, two hundred eighty-three thousand, three hundred forty-four".