8396800 has 84 divisors (see below), whose sum is σ = 21330666. Its totient is φ = 3276800.

The previous prime is 8396797. The next prime is 8396807. The reversal of 8396800 is 86938.

It can be written as a sum of positive squares in 3 ways, for example, as 3936256 + 4460544 = 1984^2 + 2112^2 .

It is not an unprimeable number, because it can be changed into a prime (8396807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204780 + ... + 204820.

Almost surely, 2^8396800 is an apocalyptic number.

8396800 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 8396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10665333).

8396800 is an abundant number, since it is smaller than the sum of its proper divisors (12933866).

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

8396800 is an equidigital number, since it uses as much as digits as its factorization.

8396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 8396800 is about 2897.7232442040. The cubic root of 8396800 is about 203.2534548436.

The spelling of 8396800 in words is "eight million, three hundred ninety-six thousand, eight hundred".