789105315856 has 135 divisors (see below), whose sum is σ = 1820904103767. Its totient is φ = 330879943680.

The previous prime is 789105315781. The next prime is 789105315893. The reversal of 789105315856 is 658513501987.

The square root of 789105315856 is 888316.

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

It can be written as a sum of positive squares in 4 ways, for example, as 446646275856 + 342459040000 = 668316^2 + 585200^2 .

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 789105315856.

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, 508115976 + ... + 508117528.

Almost surely, 2^789105315856 is an apocalyptic number.

789105315856 is the 888316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 789105315856

789105315856 is an abundant number, since it is smaller than the sum of its proper divisors (1031798787911).

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

789105315856 is a wasteful number, since it uses less digits than its factorization.

789105315856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 58.

The spelling of 789105315856 in words is "seven hundred eighty-nine billion, one hundred five million, three hundred fifteen thousand, eight hundred fifty-six".