78422400 has 288 divisors, whose sum is σ = 320626800. Its totient is φ = 17879040.

The previous prime is 78422389. The next prime is 78422417. The reversal of 78422400 is 422487.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201406 + ... + 201794.

Almost surely, 2^78422400 is an apocalyptic number.

78422400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160313400).

78422400 is an abundant number, since it is smaller than the sum of its proper divisors (242204400).

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

78422400 is a wasteful number, since it uses less digits than its factorization.

78422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 78422400 is about 8855.6422691976. The cubic root of 78422400 is about 428.0357497724.

Adding to 78422400 its reverse (422487), we get a palindrome (78844887).

The spelling of 78422400 in words is "seventy-eight million, four hundred twenty-two thousand, four hundred".