# 810

## 810 is an even composite number composed of three prime numbers multiplied together.

What does the number 810 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

810 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 810:

### 2 × 34 × 5

(2 × 3 × 3 × 3 × 3 × 5)

See below for interesting mathematical facts about the number 810 from the Numbermatics database.

### Names of 810

• Cardinal: 810 can be written as Eight hundred ten.

### Scientific notation

• Scientific notation: 8.1 × 102

### Factors of 810

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 10

### Divisors of 810

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 2178
• Sum of proper divisors (its aliquot sum) s(n): 1368
• 810 is an abundant number, because the sum of its proper divisors (1368) is greater than itself. Its abundance is 558

### Bases of 810

• Binary: 11001010102
• Base-36: MI

### Squares and roots of 810

• 810 squared (8102) is 656100
• 810 cubed (8103) is 531441000
• The square root of 810 is 28.4604989415
• The cube root of 810 is 9.3216975179

### Scales and comparisons

How big is 810?
• 810 seconds is equal to 13 minutes, 30 seconds.
• To count from 1 to 810 would take you about six minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 810 cubic inches would be around 0.8 feet tall.

### Recreational maths with 810

• 810 backwards is 018
• 810 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 810's digits is 9
• More coming soon!