78094808064 has 1056 divisors, whose sum is σ = 304004064000. Its totient is φ = 18839568384.

The previous prime is 78094807997. The next prime is 78094808069. The reversal of 78094808064 is 46080849087.

78094808064 is a `hidden beast` number, since 7 + 80 + 9 + 480 + 80 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 78094808064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78094808069) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2692924402 + ... + 2692924430.

Almost surely, 2^78094808064 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 78094808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152002032000).

78094808064 is an abundant number, since it is smaller than the sum of its proper divisors (225909255936).

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

78094808064 is a wasteful number, since it uses less digits than its factorization.

78094808064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 78094808064 in words is "seventy-eight billion, ninety-four million, eight hundred eight thousand, sixty-four".