78446912000 has 160 divisors (see below), whose sum is σ = 196377502464. Its totient is φ = 31256064000.

The previous prime is 78446911967. The next prime is 78446912023. The reversal of 78446912000 is 21964487.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17341739 + ... + 17346261.

Almost surely, 2^78446912000 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 78446912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98188751232).

78446912000 is an abundant number, since it is smaller than the sum of its proper divisors (117930590464).

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

78446912000 is an equidigital number, since it uses as much as digits as its factorization.

78446912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 78446912000 in words is "seventy-eight billion, four hundred forty-six million, nine hundred twelve thousand".