78988800 has 360 divisors, whose sum is σ = 303683688. Its totient is φ = 18022400.

The previous prime is 78988799. The next prime is 78988843. The reversal of 78988800 is 888987.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78988800.

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, 4646392 + ... + 4646408.

Almost surely, 2^78988800 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 78988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151841844).

78988800 is an abundant number, since it is smaller than the sum of its proper divisors (224694888).

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

78988800 is a wasteful number, since it uses less digits than its factorization.

78988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The square root of 78988800 is about 8887.5643457586. The cubic root of 78988800 is about 429.0637643549.

The spelling of 78988800 in words is "seventy-eight million, nine hundred eighty-eight thousand, eight hundred".