82002300 has 72 divisors (see below), whose sum is σ = 241203312. Its totient is φ = 21504000.

The previous prime is 82002293. The next prime is 82002311. The reversal of 82002300 is 320028.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 82002300.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16060 + ... + 20540.

It is an arithmetic number, because the mean of its divisors is an integer number (3350046).

Almost surely, 2^82002300 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 82002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120601656).

82002300 is an abundant number, since it is smaller than the sum of its proper divisors (159201012).

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

82002300 is a wasteful number, since it uses less digits than its factorization.

82002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 82002300 is about 9055.5121335019. The cubic root of 82002300 is about 434.4522104525.

Adding to 82002300 its reverse (320028), we get a palindrome (82322328).

The spelling of 82002300 in words is "eighty-two million, two thousand, three hundred".