78978878668800 has 2592 divisors, whose sum is σ = 327133526114304. Its totient is φ = 18728091648000.

The previous prime is 78978878668771. The next prime is 78978878668843. The reversal of 78978878668800 is 886687887987.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (90).

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 143 ways as a sum of consecutive naturals, for example, 621880934337 + ... + 621880934463.

It is an arithmetic number, because the mean of its divisors is an integer number (126208922112).

Almost surely, 2^{78978878668800} 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 78978878668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163566763057152).

78978878668800 is an abundant number, since it is smaller than the sum of its proper divisors (248154647445504).

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

78978878668800 is an equidigital number, since it uses as much as digits as its factorization.

78978878668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 29132587008, while the sum is 90.

The spelling of 78978878668800 in words is "seventy-eight trillion, nine hundred seventy-eight billion, eight hundred seventy-eight million, six hundred sixty-eight thousand, eight hundred".