78393185280 has 1056 divisors, whose sum is σ = 317288275200. Its totient is φ = 17751343104.

The previous prime is 78393185249. The next prime is 78393185291. The reversal of 78393185280 is 8258139387.

78393185280 is a `hidden beast` number, since 7 + 83 + 9 + 31 + 8 + 528 + 0 = 666.

It is a super-3 number, since 3×78393185280³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 342328206 + ... + 342328434.

Almost surely, 2^78393185280 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 78393185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158644137600).

78393185280 is an abundant number, since it is smaller than the sum of its proper divisors (238895089920).

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

78393185280 is a wasteful number, since it uses less digits than its factorization.

78393185280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 78393185280 in words is "seventy-eight billion, three hundred ninety-three million, one hundred eighty-five thousand, two hundred eighty".