78987628800 has 324 divisors, whose sum is σ = 288975070384. Its totient is φ = 20572876800.

The previous prime is 78987628693. The next prime is 78987628801. The reversal of 78987628800 is 882678987.

It is not an unprimeable number, because it can be changed into a prime (78987628801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2460855 + ... + 2492745.

Almost surely, 2^78987628800 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 78987628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144487535192).

78987628800 is an abundant number, since it is smaller than the sum of its proper divisors (209987441584).

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

78987628800 is a wasteful number, since it uses less digits than its factorization.

78987628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31966 (or 31944 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 78987628800 in words is "seventy-eight billion, nine hundred eighty-seven million, six hundred twenty-eight thousand, eight hundred".