78889400 has 48 divisors (see below), whose sum is σ = 185776800. Its totient is φ = 31150080.

The previous prime is 78889381. The next prime is 78889411. The reversal of 78889400 is 498887.

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13304 + ... + 18296.

It is an arithmetic number, because the mean of its divisors is an integer number (3870350).

Almost surely, 2^78889400 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 78889400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92888400).

78889400 is an abundant number, since it is smaller than the sum of its proper divisors (106887400).

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

78889400 is a wasteful number, since it uses less digits than its factorization.

78889400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The square root of 78889400 is about 8881.9705020902. The cubic root of 78889400 is about 428.8837099650.

The spelling of 78889400 in words is "seventy-eight million, eight hundred eighty-nine thousand, four hundred".