788129920116 has 216 divisors, whose sum is σ = 2551791374496. Its totient is φ = 202795367040.

The previous prime is 788129920111. The next prime is 788129920117. The reversal of 788129920116 is 611029921887.

It is a happy number.

788129920116 is a `hidden beast` number, since 78 + 81 + 299 + 201 + 1 + 6 = 666.

It is a super-2 number, since 2×788129920116² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788129920111) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1886430 + ... + 2266026.

It is an arithmetic number, because the mean of its divisors is an integer number (11813848956).

Almost surely, 2^788129920116 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 788129920116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275895687248).

788129920116 is an abundant number, since it is smaller than the sum of its proper divisors (1763661454380).

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

788129920116 is a wasteful number, since it uses less digits than its factorization.

788129920116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379739 (or 379727 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 788129920116 in words is "seven hundred eighty-eight billion, one hundred twenty-nine million, nine hundred twenty thousand, one hundred sixteen".