78838209792 has 180 divisors, whose sum is σ = 235428704896. Its totient is φ = 26240578560.

The previous prime is 78838209787. The next prime is 78838209859. The reversal of 78838209792 is 29790283887.

It is a happy number.

78838209792 is a `hidden beast` number, since 7 + 88 + 382 + 0 + 97 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16316817 + ... + 16321647.

Almost surely, 2^78838209792 is an apocalyptic number.

78838209792 is a gapful number since it is divisible by the number (72) 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 78838209792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117714352448).

78838209792 is an abundant number, since it is smaller than the sum of its proper divisors (156590495104).

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

78838209792 is an equidigital number, since it uses as much as digits as its factorization.

78838209792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 5623 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 78838209792 in words is "seventy-eight billion, eight hundred thirty-eight million, two hundred nine thousand, seven hundred ninety-two".