8083200 has 108 divisors (see below), whose sum is σ = 26739608. Its totient is φ = 2150400.

The previous prime is 8083147. The next prime is 8083213. The reversal of 8083200 is 23808.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 18990 + ... + 19410.

Almost surely, 2^8083200 is an apocalyptic number.

8083200 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 8083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13369804).

8083200 is an abundant number, since it is smaller than the sum of its proper divisors (18656408).

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

8083200 is a wasteful number, since it uses less digits than its factorization.

8083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 8083200 is about 2843.0969030267. The cubic root of 8083200 is about 200.6909435694.

The spelling of 8083200 in words is "eight million, eighty-three thousand, two hundred".