8082500 has 60 divisors (see below), whose sum is σ = 18303516. Its totient is φ = 3120000.

The previous prime is 8082461. The next prime is 8082521. The reversal of 8082500 is 52808.

It can be written as a sum of positive squares in 10 ways, for example, as 7311616 + 770884 = 2704^2 + 878^2 .

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 19 ways as a sum of consecutive naturals, for example, 132470 + ... + 132530.

Almost surely, 2^8082500 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 8082500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9151758).

8082500 is an abundant number, since it is smaller than the sum of its proper divisors (10221016).

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

8082500 is a wasteful number, since it uses less digits than its factorization.

8082500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 8082500 is about 2842.9737951659. The cubic root of 8082500 is about 200.6851501660.

The spelling of 8082500 in words is "eight million, eighty-two thousand, five hundred".