78982800 has 240 divisors, whose sum is σ = 280273728. Its totient is φ = 18892800.

The previous prime is 78982793. The next prime is 78982801. The reversal of 78982800 is 828987.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (78982801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 951559 + ... + 951641.

Almost surely, 2^78982800 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 78982800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140136864).

78982800 is an abundant number, since it is smaller than the sum of its proper divisors (201290928).

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

78982800 is a wasteful number, since it uses less digits than its factorization.

78982800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

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

The square root of 78982800 is about 8887.2267890496. The cubic root of 78982800 is about 429.0529001659.

The spelling of 78982800 in words is "seventy-eight million, nine hundred eighty-two thousand, eight hundred".