78441804864000 has 400 divisors, whose sum is σ = 292191929285256. Its totient is φ = 20917813248000.

The previous prime is 78441804863867. The next prime is 78441804864043. The reversal of 78441804864000 is 46840814487.

78441804864000 is a `hidden beast` number, since 7 + 8 + 4 + 41 + 80 + 486 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18509682034944 + 59932122829056 = 4302288^2 + 7741584^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2381761 + ... + 12749760.

Almost surely, 2^{78441804864000} 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 78441804864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146095964642628).

78441804864000 is an abundant number, since it is smaller than the sum of its proper divisors (213750124421256).

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

78441804864000 is an equidigital number, since it uses as much as digits as its factorization.

78441804864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15131566 (or 15131531 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 78441804864000 in words is "seventy-eight trillion, four hundred forty-one billion, eight hundred four million, eight hundred sixty-four thousand".