78806957838336 has 1248 divisors, whose sum is σ = 293513625699840. Its totient is φ = 19801467518976.

The previous prime is 78806957838263. The next prime is 78806957838379. The reversal of 78806957838336 is 63383875960887.

78806957838336 is a `hidden beast` number, since 7 + 8 + 8 + 0 + 6 + 9 + 578 + 3 + 8 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×78806957838336² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20755056790 + ... + 20755060586.

It is an arithmetic number, because the mean of its divisors is an integer number (235187200080).

Almost surely, 2^{78806957838336} 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 78806957838336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146756812849920).

78806957838336 is an abundant number, since it is smaller than the sum of its proper divisors (214706667861504).

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

78806957838336 is a wasteful number, since it uses less digits than its factorization.

78806957838336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 8778792960, while the sum is 81.

The spelling of 78806957838336 in words is "seventy-eight trillion, eight hundred six billion, nine hundred fifty-seven million, eight hundred thirty-eight thousand, three hundred thirty-six".