788509886976 has 1280 divisors, whose sum is σ = 2949445509120. Its totient is φ = 202887659520.

The previous prime is 788509886887. The next prime is 788509886981. The reversal of 788509886976 is 679688905887.

It is a junction number, because it is equal to n+sod(n) for n = 788509886895 and 788509886904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5022355890 + ... + 5022356046.

It is an arithmetic number, because the mean of its divisors is an integer number (2304254304).

Almost surely, 2^788509886976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 788509886976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474722754560).

788509886976 is an abundant number, since it is smaller than the sum of its proper divisors (2160935622144).

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

788509886976 is a wasteful number, since it uses less digits than its factorization.

788509886976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 81.

The spelling of 788509886976 in words is "seven hundred eighty-eight billion, five hundred nine million, eight hundred eighty-six thousand, nine hundred seventy-six".