8860800 has 192 divisors, whose sum is σ = 31872960. Its totient is φ = 2150400.

The previous prime is 8860793. The next prime is 8860807. The reversal of 8860800 is 80688.

It is an interprime number because it is at equal distance from previous prime (8860793) and next prime (8860807).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (8860807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124765 + ... + 124835.

It is an arithmetic number, because the mean of its divisors is an integer number (166005).

Almost surely, 2^8860800 is an apocalyptic number.

8860800 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 8860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

8860800 is an abundant number, since it is smaller than the sum of its proper divisors (23012160).

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

8860800 is a wasteful number, since it uses less digits than its factorization.

8860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 8860800 is about 2976.7095928222. The cubic root of 8860800 is about 206.9304067205.

The spelling of 8860800 in words is "eight million, eight hundred sixty thousand, eight hundred".