78889200 has 180 divisors, whose sum is σ = 274346280. Its totient is φ = 19368960.

The previous prime is 78889199. The next prime is 78889243. The reversal of 78889200 is 298887.

It is a happy number.

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, 202606 + ... + 202994.

It is an arithmetic number, because the mean of its divisors is an integer number (1524146).

Almost surely, 2^78889200 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 78889200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137173140).

78889200 is an abundant number, since it is smaller than the sum of its proper divisors (195457080).

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

78889200 is a wasteful number, since it uses less digits than its factorization.

78889200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 78889200 is about 8881.9592433201. The cubic root of 78889200 is about 428.8833475301.

The spelling of 78889200 in words is "seventy-eight million, eight hundred eighty-nine thousand, two hundred".