78717600 has 324 divisors, whose sum is σ = 309593466. Its totient is φ = 18708480.

The previous prime is 78717553. The next prime is 78717619. The reversal of 78717600 is 671787.

It can be written as a sum of positive squares in 9 ways, for example, as 501264 + 78216336 = 708^2 + 8844^2 .

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

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2714386 + ... + 2714414.

Almost surely, 2^78717600 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 78717600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154796733).

78717600 is an abundant number, since it is smaller than the sum of its proper divisors (230875866).

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

78717600 is a wasteful number, since it uses less digits than its factorization.

78717600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 78717600 is about 8872.2939536514. The cubic root of 78717600 is about 428.5721523797.

The spelling of 78717600 in words is "seventy-eight million, seven hundred seventeen thousand, six hundred".