8364800 has 54 divisors (see below), whose sum is σ = 20720028. Its totient is φ = 3343360.

The previous prime is 8364793. The next prime is 8364821. The reversal of 8364800 is 84638.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5747 + ... + 7053.

Almost surely, 2^8364800 is an apocalyptic number.

8364800 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 8364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10360014).

8364800 is an abundant number, since it is smaller than the sum of its proper divisors (12355228).

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

8364800 is a wasteful number, since it uses less digits than its factorization.

8364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 8364800 is about 2892.1963972040. The cubic root of 8364800 is about 202.9949281656.

The spelling of 8364800 in words is "eight million, three hundred sixty-four thousand, eight hundred".