78390892800000 has 2880 divisors, whose sum is σ = 326076776625600. Its totient is φ = 18601574400000.

The previous prime is 78390892799987. The next prime is 78390892800047. The reversal of 78390892800000 is 829809387.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×78390892800000² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 78390892800000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 336441599884 + ... + 336441600116.

It is an arithmetic number, because the mean of its divisors is an integer number (113221102995).

Almost surely, 2^{78390892800000} 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 78390892800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163038388312800).

78390892800000 is an abundant number, since it is smaller than the sum of its proper divisors (247685883825600).

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

78390892800000 is an equidigital number, since it uses as much as digits as its factorization.

78390892800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 78390892800000 in words is "seventy-eight trillion, three hundred ninety billion, eight hundred ninety-two million, eight hundred thousand".