8280083010 has 64 divisors (see below), whose sum is σ = 20679183360. Its totient is φ = 2120099520.

The previous prime is 8280083003. The next prime is 8280083011. The reversal of 8280083010 is 103800828.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (8280083011) 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 31 ways as a sum of consecutive naturals, for example, 21715 + ... + 130505.

It is an arithmetic number, because the mean of its divisors is an integer number (323112240).

Almost surely, 2^8280083010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8280083010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10339591680).

8280083010 is an abundant number, since it is smaller than the sum of its proper divisors (12399100350).

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

8280083010 is a wasteful number, since it uses less digits than its factorization.

8280083010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108903.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 8280083010 is about 90994.9614539179. The cubic root of 8280083010 is about 2023.0730445338.

Adding to 8280083010 its reverse (103800828), we get a palindrome (8383883838).

The spelling of 8280083010 in words is "eight billion, two hundred eighty million, eighty-three thousand, ten".