788637378816 has 1728 divisors, whose sum is σ = 3095384544000. Its totient is φ = 198651543552.

The previous prime is 788637378803. The next prime is 788637378869. The reversal of 788637378816 is 618873736887.

788637378816 is a `hidden beast` number, since 78 + 86 + 37 + 378 + 81 + 6 = 666.

788637378816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8861094100 + ... + 8861094188.

It is an arithmetic number, because the mean of its divisors is an integer number (1791310500).

Almost surely, 2^788637378816 is an apocalyptic number.

788637378816 is a gapful number since it is divisible by the number (76) 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 788637378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547692272000).

788637378816 is an abundant number, since it is smaller than the sum of its proper divisors (2306747165184).

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

788637378816 is an equidigital number, since it uses as much as digits as its factorization.

788637378816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 72.

The spelling of 788637378816 in words is "seven hundred eighty-eight billion, six hundred thirty-seven million, three hundred seventy-eight thousand, eight hundred sixteen".