8205673320 has 144 divisors (see below), whose sum is σ = 28877872140. Its totient is φ = 2019843072.

The previous prime is 8205673303. The next prime is 8205673321. The reversal of 8205673320 is 233765028.

It can be written as a sum of positive squares in 6 ways, for example, as 604274724 + 7601398596 = 24582^2 + 87186^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8205673321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6597 + ... + 128276.

Almost surely, 2^8205673320 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 8205673320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14438936070).

8205673320 is an abundant number, since it is smaller than the sum of its proper divisors (20672198820).

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

8205673320 is a wasteful number, since it uses less digits than its factorization.

8205673320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134916 (or 134896 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 8205673320 is about 90585.1716342140. The cubic root of 8205673320 is about 2016.9946256543.

The spelling of 8205673320 in words is "eight billion, two hundred five million, six hundred seventy-three thousand, three hundred twenty".