78979509816768 has 1344 divisors, whose sum is σ = 264363720192000. Its totient is φ = 22322339020800.

The previous prime is 78979509816737. The next prime is 78979509816817. The reversal of 78979509816768 is 86761890597987.

It is a happy number.

78979509816768 is a `hidden beast` number, since 7 + 8 + 97 + 9 + 509 + 8 + 1 + 6 + 7 + 6 + 8 = 666.

78979509816768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 203032158718 + ... + 203032159106.

Almost surely, 2^{78979509816768} 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 78979509816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132181860096000).

78979509816768 is an abundant number, since it is smaller than the sum of its proper divisors (185384210375232).

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

78979509816768 is a wasteful number, since it uses less digits than its factorization.

78979509816768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 23044331520, while the sum is 90.

The spelling of 78979509816768 in words is "seventy-eight trillion, nine hundred seventy-nine billion, five hundred nine million, eight hundred sixteen thousand, seven hundred sixty-eight".