78359193600 has 288 divisors, whose sum is σ = 261661065120. Its totient is φ = 20684800000.

The previous prime is 78359193571. The next prime is 78359193617. The reversal of 78359193600 is 639195387.

It is a super-2 number, since 2×78359193600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 15511075 + ... + 15516125.

It is an arithmetic number, because the mean of its divisors is an integer number (908545365).

Almost surely, 2^78359193600 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 78359193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130830532560).

78359193600 is an abundant number, since it is smaller than the sum of its proper divisors (183301871520).

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

78359193600 is a wasteful number, since it uses less digits than its factorization.

78359193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 78359193600 in words is "seventy-eight billion, three hundred fifty-nine million, one hundred ninety-three thousand, six hundred".