78580800 has 336 divisors, whose sum is σ = 306141120. Its totient is φ = 19537920.

The previous prime is 78580787. The next prime is 78580847. The reversal of 78580800 is 808587.

78580800 is a `hidden beast` number, since 78 + 580 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 734347 + ... + 734453.

Almost surely, 2^78580800 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 78580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153070560).

78580800 is an abundant number, since it is smaller than the sum of its proper divisors (227560320).

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

78580800 is a wasteful number, since it uses less digits than its factorization.

78580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 78580800 is about 8864.5812083820. The cubic root of 78580800 is about 428.3237425957.

The spelling of 78580800 in words is "seventy-eight million, five hundred eighty thousand, eight hundred".