8394800 has 60 divisors (see below), whose sum is σ = 20849856. Its totient is φ = 3244800.

The previous prime is 8394797. The next prime is 8394803. The reversal of 8394800 is 84938.

It is an interprime number because it is at equal distance from previous prime (8394797) and next prime (8394803).

It is not an unprimeable number, because it can be changed into a prime (8394803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12062 + ... + 12738.

Almost surely, 2^8394800 is an apocalyptic number.

8394800 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 8394800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10424928).

8394800 is an abundant number, since it is smaller than the sum of its proper divisors (12455056).

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

8394800 is a wasteful number, since it uses less digits than its factorization.

8394800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 8394800 is about 2897.3781251331. The cubic root of 8394800 is about 203.2373161880.

The spelling of 8394800 in words is "eight million, three hundred ninety-four thousand, eight hundred".