78289974593280 has 1152 divisors, whose sum is σ = 292860199296000. Its totient is φ = 19775911034880.

The previous prime is 78289974593263. The next prime is 78289974593357. The reversal of 78289974593280 is 8239547998287.

78289974593280 is a `hidden beast` number, since 7 + 8 + 2 + 89 + 9 + 7 + 459 + 3 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×78289974593280² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78289974593280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39086356759 + ... + 39086358761.

It is an arithmetic number, because the mean of its divisors is an integer number (254218923000).

Almost surely, 2^{78289974593280} 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 78289974593280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146430099648000).

78289974593280 is an abundant number, since it is smaller than the sum of its proper divisors (214570224702720).

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

78289974593280 is a wasteful number, since it uses less digits than its factorization.

78289974593280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 81.

The spelling of 78289974593280 in words is "seventy-eight trillion, two hundred eighty-nine billion, nine hundred seventy-four million, five hundred ninety-three thousand, two hundred eighty".