788758910641 has 27 divisors (see below), whose sum is σ = 871194904419. Its totient is φ = 713793505152.

The previous prime is 788758910623. The next prime is 788758910669. The reversal of 788758910641 is 146019857887.

The square root of 788758910641 is 888121.

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

It can be written as a sum of positive squares in 13 ways, for example, as 259764528241 + 528994382400 = 509671^2 + 727320^2 .

It is not a de Polignac number, because 788758910641 - 2¹⁵ = 788758877873 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (788758910441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 611914725 + ... + 611916013.

Almost surely, 2^788758910641 is an apocalyptic number.

788758910641 is the 888121-st square number and also the 474721-st nonagonal number.

788758910641 is the 444061-st centered octagonal number.

It is an amenable number.

788758910641 is a deficient number, since it is larger than the sum of its proper divisors (82435993778).

788758910641 is an frugal number, since it uses more digits than its factorization.

788758910641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 64.

Multiplying 788758910641 by its sum of digits (64), we get a square (50480570281024 = 7104968²).

The spelling of 788758910641 in words is "seven hundred eighty-eight billion, seven hundred fifty-eight million, nine hundred ten thousand, six hundred forty-one".