789834088960 has 240 divisors, whose sum is σ = 2278908169560. Its totient is φ = 261461114880.

The previous prime is 789834088957. The next prime is 789834088991. The reversal of 789834088960 is 69880438987.

It can be written as a sum of positive squares in 4 ways, for example, as 539978068224 + 249856020736 = 734832^2 + 499856^2 .

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 789834088960.

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 23 ways as a sum of consecutive naturals, for example, 3529200 + ... + 3746320.

Almost surely, 2^789834088960 is an apocalyptic number.

789834088960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 789834088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139454084780).

789834088960 is an abundant number, since it is smaller than the sum of its proper divisors (1489074080600).

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

789834088960 is a wasteful number, since it uses less digits than its factorization.

789834088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217187 (or 217164 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 70.

The spelling of 789834088960 in words is "seven hundred eighty-nine billion, eight hundred thirty-four million, eighty-eight thousand, nine hundred sixty".