78835394304000 has 576 divisors, whose sum is σ = 286041589928640. Its totient is φ = 20883456000000.

The previous prime is 78835394303989. The next prime is 78835394304047. The reversal of 78835394304000 is 40349353887.

78835394304000 is a `hidden beast` number, since 78 + 8 + 3 + 53 + 94 + 30 + 400 + 0 = 666.

78835394304000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347790700 + ... + 348017300.

It is an arithmetic number, because the mean of its divisors is an integer number (496599982515).

Almost surely, 2^{78835394304000} 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 78835394304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143020794964320).

78835394304000 is an abundant number, since it is smaller than the sum of its proper divisors (207206195624640).

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

78835394304000 is a wasteful number, since it uses less digits than its factorization.

78835394304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226795 (or 226762 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 78835394304000 in words is "seventy-eight trillion, eight hundred thirty-five billion, three hundred ninety-four million, three hundred four thousand".