788149934880 has 768 divisors, whose sum is σ = 3272411197440. Its totient is φ = 154474905600.

The previous prime is 788149934851. The next prime is 788149934911. The reversal of 788149934880 is 88439941887.

It is a super-2 number, since 2×788149934880² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 169237512 + ... + 169242168.

It is an arithmetic number, because the mean of its divisors is an integer number (4260952080).

Almost surely, 2^788149934880 is an apocalyptic number.

788149934880 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 788149934880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636205598720).

788149934880 is an abundant number, since it is smaller than the sum of its proper divisors (2484261262560).

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

788149934880 is a wasteful number, since it uses less digits than its factorization.

788149934880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4953 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 69.

The spelling of 788149934880 in words is "seven hundred eighty-eight billion, one hundred forty-nine million, nine hundred thirty-four thousand, eight hundred eighty".