8082210 has 32 divisors (see below), whose sum is σ = 19691712. Its totient is φ = 2122560.

The previous prime is 8082199. The next prime is 8082211. The reversal of 8082210 is 122808.

8082210 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

8082210 is a nontrivial binomial coefficient, being equal to C(4021, 2).

It is not an unprimeable number, because it can be changed into a prime (8082211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 4020.

It is an arithmetic number, because the mean of its divisors is an integer number (615366).

Almost surely, 2^8082210 is an apocalyptic number.

8082210 is the 4020-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8082210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9845856).

8082210 is an abundant number, since it is smaller than the sum of its proper divisors (11609502).

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

8082210 is a wasteful number, since it uses less digits than its factorization.

8082210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8082210 is about 2842.9227917761. The cubic root of 8082210 is about 200.6827499437.

The spelling of 8082210 in words is "eight million, eighty-two thousand, two hundred ten".