78060338102304 has 288 divisors, whose sum is σ = 228640436322480. Its totient is φ = 25250910437376.

The previous prime is 78060338102297. The next prime is 78060338102399. The reversal of 78060338102304 is 40320183306087.

78060338102304 is a `hidden beast` number, since 7 + 8 + 0 + 6 + 0 + 338 + 1 + 0 + 2 + 304 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21661019139600 + 56399318962704 = 4654140^2 + 7509948^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 78060338102304.

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, 2631025582 + ... + 2631055250.

Almost surely, 2^{78060338102304} 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 78060338102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114320218161240).

78060338102304 is an abundant number, since it is smaller than the sum of its proper divisors (150580098220176).

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

78060338102304 is a wasteful number, since it uses less digits than its factorization.

78060338102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31612 (or 31601 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 78060338102304 in words is "seventy-eight trillion, sixty billion, three hundred thirty-eight million, one hundred two thousand, three hundred four".