78428908800 has 1080 divisors, whose sum is σ = 326552710400. Its totient is φ = 18399744000.

The previous prime is 78428908787. The next prime is 78428908841. The reversal of 78428908800 is 880982487.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 2529964785 + ... + 2529964815.

Almost surely, 2^78428908800 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 78428908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163276355200).

78428908800 is an abundant number, since it is smaller than the sum of its proper divisors (248123801600).

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

78428908800 is an equidigital number, since it uses as much as digits as its factorization.

78428908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 78428908800 in words is "seventy-eight billion, four hundred twenty-eight million, nine hundred eight thousand, eight hundred".