78630912000 has 768 divisors, whose sum is σ = 297707155200. Its totient is φ = 20702822400.

The previous prime is 78630911993. The next prime is 78630912001. The reversal of 78630912000 is 21903687.

78630912000 is a `hidden beast` number, since 7 + 8 + 630 + 9 + 12 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (78630912001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995327961 + ... + 995328039.

It is an arithmetic number, because the mean of its divisors is an integer number (387639525).

Almost surely, 2^78630912000 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 78630912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148853577600).

78630912000 is an abundant number, since it is smaller than the sum of its proper divisors (219076243200).

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

78630912000 is an frugal number, since it uses more digits than its factorization.

78630912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 78630912000 in words is "seventy-eight billion, six hundred thirty million, nine hundred twelve thousand".