78398182080 has 168 divisors, whose sum is σ = 269962115904. Its totient is φ = 20882534400.

The previous prime is 78398181977. The next prime is 78398182087. The reversal of 78398182080 is 8028189387.

78398182080 is a `hidden beast` number, since 78 + 398 + 182 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×78398182080² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78398182087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2608740 + ... + 2638620.

Almost surely, 2^78398182080 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 78398182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134981057952).

78398182080 is an abundant number, since it is smaller than the sum of its proper divisors (191563933824).

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

78398182080 is a wasteful number, since it uses less digits than its factorization.

78398182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30815 (or 30802 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 78398182080 in words is "seventy-eight billion, three hundred ninety-eight million, one hundred eighty-two thousand, eighty".