78886400 has 60 divisors (see below), whose sum is σ = 195478932. Its totient is φ = 31549440.

The previous prime is 78886397. The next prime is 78886417. The reversal of 78886400 is 468887.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 9719 + ... + 15881.

Almost surely, 2^78886400 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 78886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97739466).

78886400 is an abundant number, since it is smaller than the sum of its proper divisors (116592532).

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

78886400 is an equidigital number, since it uses as much as digits as its factorization.

78886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6191 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 78886400 is about 8881.8016190410. The cubic root of 78886400 is about 428.8782733772.

The spelling of 78886400 in words is "seventy-eight million, eight hundred eighty-six thousand, four hundred".