8210080 has 72 divisors (see below), whose sum is σ = 20485332. Its totient is φ = 3108864.

The previous prime is 8210077. The next prime is 8210087. The reversal of 8210080 is 800128.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8133904 + 76176 = 2852^2 + 276^2 .

It is not an unprimeable number, because it can be changed into a prime (8210087) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 84592 + ... + 84688.

Almost surely, 2^8210080 is an apocalyptic number.

8210080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8210080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10242666).

8210080 is an abundant number, since it is smaller than the sum of its proper divisors (12275252).

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

8210080 is a wasteful number, since it uses less digits than its factorization.

8210080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 8210080 is about 2865.3237164411. The cubic root of 8210080 is about 201.7355622204.

The spelling of 8210080 in words is "eight million, two hundred ten thousand, eighty".