8325200 has 60 divisors (see below), whose sum is σ = 21553308. Its totient is φ = 3072000.

The previous prime is 8325193. The next prime is 8325217. The reversal of 8325200 is 25238.

It can be written as a sum of positive squares in 6 ways, for example, as 7744 + 8317456 = 88^2 + 2884^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 4400 + ... + 6000.

Almost surely, 2^8325200 is an apocalyptic number.

8325200 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 8325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10776654).

8325200 is an abundant number, since it is smaller than the sum of its proper divisors (13228108).

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

8325200 is a wasteful number, since it uses less digits than its factorization.

8325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 8325200 is about 2885.3422673922. The cubic root of 8325200 is about 202.6740869475.

It can be divided in two parts, 832 and 5200, that multiplied together give a square (4326400 = 2080²).

The spelling of 8325200 in words is "eight million, three hundred twenty-five thousand, two hundred".