78188689800 has 1152 divisors, whose sum is σ = 320635728000. Its totient is φ = 17356032000.

The previous prime is 78188689783. The next prime is 78188689807. The reversal of 78188689800 is 898688187.

It is a happy number.

It is a super-2 number, since 2×78188689800² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78188689807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1281781770 + ... + 1281781830.

It is an arithmetic number, because the mean of its divisors is an integer number (278329625).

Almost surely, 2^78188689800 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 78188689800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160317864000).

78188689800 is an abundant number, since it is smaller than the sum of its proper divisors (242447038200).

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

78188689800 is a wasteful number, since it uses less digits than its factorization.

78188689800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 63.

The spelling of 78188689800 in words is "seventy-eight billion, one hundred eighty-eight million, six hundred eighty-nine thousand, eight hundred".