78800428400 has 60 divisors (see below), whose sum is σ = 189646692192. Its totient is φ = 31465451520.

The previous prime is 78800428391. The next prime is 78800428417. The reversal of 78800428400 is 482400887.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 60089 + ... + 401511.

Almost surely, 2^78800428400 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 78800428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94823346096).

78800428400 is an abundant number, since it is smaller than the sum of its proper divisors (110846263792).

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

78800428400 is a wasteful number, since it uses less digits than its factorization.

78800428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342018 (or 342007 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 41.

The spelling of 78800428400 in words is "seventy-eight billion, eight hundred million, four hundred twenty-eight thousand, four hundred".