78966244800 has 252 divisors, whose sum is σ = 280909989360. Its totient is φ = 21039267840.

The previous prime is 78966244781. The next prime is 78966244871. The reversal of 78966244800 is 844266987.

78966244800 is a `hidden beast` number, since 7 + 8 + 9 + 6 + 624 + 4 + 8 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 27200149 + ... + 27203051.

It is an arithmetic number, because the mean of its divisors is an integer number (1114722180).

Almost surely, 2^78966244800 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 78966244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140454994680).

78966244800 is an abundant number, since it is smaller than the sum of its proper divisors (201943744560).

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

78966244800 is a wasteful number, since it uses less digits than its factorization.

78966244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820 (or 4802 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 78966244800 in words is "seventy-eight billion, nine hundred sixty-six million, two hundred forty-four thousand, eight hundred".