78543960768 has 1344 divisors, whose sum is σ = 318107811840. Its totient is φ = 18623582208.

The previous prime is 78543960751. The next prime is 78543960769. The reversal of 78543960768 is 86706934587.

78543960768 is a `hidden beast` number, since 7 + 85 + 439 + 60 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (78543960769) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 618456321 + ... + 618456447.

It is an arithmetic number, because the mean of its divisors is an integer number (236687360).

Almost surely, 2^78543960768 is an apocalyptic number.

78543960768 is a gapful number since it is divisible by the number (78) 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 78543960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159053905920).

78543960768 is an abundant number, since it is smaller than the sum of its proper divisors (239563851072).

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

78543960768 is a wasteful number, since it uses less digits than its factorization.

78543960768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 78543960768 in words is "seventy-eight billion, five hundred forty-three million, nine hundred sixty thousand, seven hundred sixty-eight".