82508200 has 48 divisors (see below), whose sum is σ = 193854780. Its totient is φ = 32655360.

The previous prime is 82508197. The next prime is 82508221. The reversal of 82508200 is 280528.

It can be written as a sum of positive squares in 6 ways, for example, as 11847364 + 70660836 = 3442^2 + 8406^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 17274 + ... + 21526.

Almost surely, 2^82508200 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 82508200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96927390).

82508200 is an abundant number, since it is smaller than the sum of its proper divisors (111346580).

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

82508200 is a wasteful number, since it uses less digits than its factorization.

82508200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 82508200 is about 9083.4024462202. The cubic root of 82508200 is about 435.3438071150.

Adding to 82508200 its reverse (280528), we get a palindrome (82788728).

The spelling of 82508200 in words is "eighty-two million, five hundred eight thousand, two hundred".