# 7680

## 7,680 is an even composite number composed of three prime numbers multiplied together.

What does the number 7680 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 40 divisors.

7680 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty divisors.

## Prime factorization of 7680:

### 29 × 3 × 5

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5)

See below for interesting mathematical facts about the number 7680 from the Numbermatics database.

### Names of 7680

• Cardinal: 7680 can be written as Seven thousand, six hundred eighty.

### Scientific notation

• Scientific notation: 7.68 × 103

### Factors of 7680

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 10

### Divisors of 7680

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 24552
• Sum of proper divisors (its aliquot sum) s(n): 16872
• 7680 is an abundant number, because the sum of its proper divisors (16872) is greater than itself. Its abundance is 9192

### Bases of 7680

• Binary: 11110000000002
• Base-36: 5XC

### Squares and roots of 7680

• 7680 squared (76802) is 58982400
• 7680 cubed (76803) is 452984832000
• The square root of 7680 is 87.6356092009
• The cube root of 7680 is 19.7296965947

### Scales and comparisons

How big is 7680?
• 7,680 seconds is equal to 2 hours, 8 minutes.
• To count from 1 to 7,680 would take you about two hours.

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 7680 cubic inches would be around 1.6 feet tall.

### Recreational maths with 7680

• 7680 backwards is 0867
• The number of decimal digits it has is: 4
• The sum of 7680's digits is 21
• More coming soon!