83320200 has 144 divisors (see below), whose sum is σ = 286895700. Its totient is φ = 21657600.

The previous prime is 83320199. The next prime is 83320231. The reversal of 83320200 is 202338.

It can be written as a sum of positive squares in 6 ways, for example, as 1127844 + 82192356 = 1062^2 + 9066^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73236 + ... + 74364.

Almost surely, 2^83320200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143447850).

83320200 is an abundant number, since it is smaller than the sum of its proper divisors (203575500).

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

83320200 is a wasteful number, since it uses less digits than its factorization.

83320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 83320200 is about 9127.9899211163. The cubic root of 83320200 is about 436.7672851157.

Adding to 83320200 its reverse (202338), we get a palindrome (83522538).

The spelling of 83320200 in words is "eighty-three million, three hundred twenty thousand, two hundred".