8716800 has 120 divisors (see below), whose sum is σ = 28922256. Its totient is φ = 2314240.

The previous prime is 8716783. The next prime is 8716817. The reversal of 8716800 is 86178.

It is an interprime number because it is at equal distance from previous prime (8716783) and next prime (8716817).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38287 + ... + 38513.

Almost surely, 2^8716800 is an apocalyptic number.

8716800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14461128).

8716800 is an abundant number, since it is smaller than the sum of its proper divisors (20205456).

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

8716800 is a wasteful number, since it uses less digits than its factorization.

8716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 8716800 is about 2952.4227339593. The cubic root of 8716800 is about 205.8033124365.

The spelling of 8716800 in words is "eight million, seven hundred sixteen thousand, eight hundred".