788369863680 has 880 divisors, whose sum is σ = 3398820458880. Its totient is φ = 170702733312.

The previous prime is 788369863679. The next prime is 788369863691. The reversal of 788369863680 is 86368963887.

788369863680 is a `hidden beast` number, since 7 + 88 + 369 + 86 + 36 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 788369863599 and 788369863608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55150614 + ... + 55164906.

It is an arithmetic number, because the mean of its divisors is an integer number (3862295976).

Almost surely, 2^788369863680 is an apocalyptic number.

788369863680 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 788369863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699410229440).

788369863680 is an abundant number, since it is smaller than the sum of its proper divisors (2610450595200).

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

788369863680 is a wasteful number, since it uses less digits than its factorization.

788369863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14356 (or 14329 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 788369863680 in words is "seven hundred eighty-eight billion, three hundred sixty-nine million, eight hundred sixty-three thousand, six hundred eighty".