788266968336 has 135 divisors (see below), whose sum is σ = 2222483708133. Its totient is φ = 260813053440.

The previous prime is 788266968283. The next prime is 788266968343. The reversal of 788266968336 is 633869662887.

The square root of 788266968336 is 887844.

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

788266968336 is a `hidden beast` number, since 78 + 82 + 66 + 96 + 8 + 336 = 666.

It can be written as a sum of positive squares in only one way, i.e., 592832241936 + 195434726400 = 769956^2 + 442080^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2567644695 + ... + 2567645001.

Almost surely, 2^788266968336 is an apocalyptic number.

788266968336 is the 887844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 788266968336

788266968336 is an abundant number, since it is smaller than the sum of its proper divisors (1434216739797).

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

788266968336 is an equidigital number, since it uses as much as digits as its factorization.

788266968336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 553 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 788266968336 in words is "seven hundred eighty-eight billion, two hundred sixty-six million, nine hundred sixty-eight thousand, three hundred thirty-six".