8321200 has 60 divisors (see below), whose sum is σ = 20342448. Its totient is φ = 3270400.

The previous prime is 8321171. The next prime is 8321213. The reversal of 8321200 is 21238.

It is a happy number.

8321200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 28254 + ... + 28546.

Almost surely, 2^8321200 is an apocalyptic number.

8321200 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 8321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10171224).

8321200 is an abundant number, since it is smaller than the sum of its proper divisors (12021248).

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

8321200 is a wasteful number, since it uses less digits than its factorization.

8321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 8321200 is about 2884.6490254449. The cubic root of 8321200 is about 202.6416222131.

Adding to 8321200 its reverse (21238), we get a palindrome (8342438).

The spelling of 8321200 in words is "eight million, three hundred twenty-one thousand, two hundred".