78966813600 has 288 divisors, whose sum is σ = 286012944000. Its totient is φ = 21027133440.

The previous prime is 78966813589. The next prime is 78966813613. The reversal of 78966813600 is 631866987.

It is a happy number.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17472141 + ... + 17476659.

It is an arithmetic number, because the mean of its divisors is an integer number (993100500).

Almost surely, 2^78966813600 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 78966813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143006472000).

78966813600 is an abundant number, since it is smaller than the sum of its proper divisors (207046130400).

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

78966813600 is a wasteful number, since it uses less digits than its factorization.

78966813600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5357 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 78966813600 in words is "seventy-eight billion, nine hundred sixty-six million, eight hundred thirteen thousand, six hundred".