78984382176 has 384 divisors, whose sum is σ = 287772549120. Its totient is φ = 20553523200.

The previous prime is 78984382121. The next prime is 78984382189. The reversal of 78984382176 is 67128348987.

78984382176 is a `hidden beast` number, since 7 + 8 + 9 + 84 + 382 + 176 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3174906 + ... + 3199686.

It is an arithmetic number, because the mean of its divisors is an integer number (749407680).

Almost surely, 2^78984382176 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 78984382176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143886274560).

78984382176 is an abundant number, since it is smaller than the sum of its proper divisors (208788166944).

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

78984382176 is a wasteful number, since it uses less digits than its factorization.

78984382176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24855 (or 24841 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 78984382176 in words is "seventy-eight billion, nine hundred eighty-four million, three hundred eighty-two thousand, one hundred seventy-six".