8320800 has 72 divisors (see below), whose sum is σ = 27092016. Its totient is φ = 2218240.

The previous prime is 8320789. The next prime is 8320811. The reversal of 8320800 is 80238.

It is an interprime number because it is at equal distance from previous prime (8320789) and next prime (8320811).

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, 667 + ... + 4133.

It is an arithmetic number, because the mean of its divisors is an integer number (376278).

Almost surely, 2^8320800 is an apocalyptic number.

8320800 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 8320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13546008).

8320800 is an abundant number, since it is smaller than the sum of its proper divisors (18771216).

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

8320800 is a wasteful number, since it uses less digits than its factorization.

8320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 8320800 is about 2884.5796920869. The cubic root of 8320800 is about 202.6383751674.

The spelling of 8320800 in words is "eight million, three hundred twenty thousand, eight hundred".