78424430400 has 1008 divisors, whose sum is σ = 308691036160. Its totient is φ = 18811699200.

The previous prime is 78424430393. The next prime is 78424430417. The reversal of 78424430400 is 403442487.

It is a happy number.

78424430400 is a `hidden beast` number, since 7 + 8 + 4 + 244 + 3 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 617515137 + ... + 617515263.

Almost surely, 2^78424430400 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 78424430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154345518080).

78424430400 is an abundant number, since it is smaller than the sum of its proper divisors (230266605760).

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

78424430400 is a wasteful number, since it uses less digits than its factorization.

78424430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Adding to 78424430400 its reverse (403442487), we get a palindrome (78827872887).

The spelling of 78424430400 in words is "seventy-eight billion, four hundred twenty-four million, four hundred thirty thousand, four hundred".