78968494080 has 1440 divisors, whose sum is σ = 345696951600. Its totient is φ = 17167417344.

The previous prime is 78968494079. The next prime is 78968494201. The reversal of 78968494080 is 8049486987.

78968494080 is a `hidden beast` number, since 7 + 8 + 9 + 68 + 494 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 78968493999 and 78968494017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1178634207 + ... + 1178634273.

Almost surely, 2^78968494080 is an apocalyptic number.

78968494080 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 78968494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172848475800).

78968494080 is an abundant number, since it is smaller than the sum of its proper divisors (266728457520).

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

78968494080 is a wasteful number, since it uses less digits than its factorization.

78968494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 78968494080 in words is "seventy-eight billion, nine hundred sixty-eight million, four hundred ninety-four thousand, eighty".