788701516416 has 768 divisors, whose sum is σ = 2723334981120. Its totient is φ = 216376934400.

The previous prime is 788701516403. The next prime is 788701516423. The reversal of 788701516416 is 614615107887.

788701516416 is a `hidden beast` number, since 7 + 8 + 8 + 70 + 151 + 6 + 416 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 617619970 + ... + 617621246.

It is an arithmetic number, because the mean of its divisors is an integer number (3546009090).

Almost surely, 2^788701516416 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 788701516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361667490560).

788701516416 is an abundant number, since it is smaller than the sum of its proper divisors (1934633464704).

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

788701516416 is a wasteful number, since it uses less digits than its factorization.

788701516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 788701516416 in words is "seven hundred eighty-eight billion, seven hundred one million, five hundred sixteen thousand, four hundred sixteen".