82200304 has 40 divisors (see below), whose sum is σ = 169395408. Its totient is φ = 38507520.

The previous prime is 82200301. The next prime is 82200331. The reversal of 82200304 is 40300228.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82200301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74799 + ... + 75889.

Almost surely, 2^82200304 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 82200304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84697704).

82200304 is an abundant number, since it is smaller than the sum of its proper divisors (87195104).

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

82200304 is a wasteful number, since it uses less digits than its factorization.

82200304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 82200304 is about 9066.4383304581. The cubic root of 82200304 is about 434.8016076869.

The spelling of 82200304 in words is "eighty-two million, two hundred thousand, three hundred four".