# 768

## 768 is an even composite number composed of two prime numbers multiplied together.

What does the number 768 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 18 divisors.

768 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 768:

### 28 × 3

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3)

See below for interesting mathematical facts about the number 768 from the Numbermatics database.

### Names of 768

• Cardinal: 768 can be written as Seven hundred sixty-eight.

### Scientific notation

• Scientific notation: 7.68 × 102

### Factors of 768

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 5

### Divisors of 768

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 2044
• Sum of proper divisors (its aliquot sum) s(n): 1276
• 768 is an abundant number, because the sum of its proper divisors (1276) is greater than itself. Its abundance is 508

### Bases of 768

• Binary: 11000000002
• Base-36: LC

### Squares and roots of 768

• 768 squared (7682) is 589824
• 768 cubed (7683) is 452984832
• The square root of 768 is 27.7128129211
• The cube root of 768 is 9.1577139405

### Scales and comparisons

How big is 768?
• 768 seconds is equal to 12 minutes, 48 seconds.
• To count from 1 to 768 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 768 cubic inches would be around 0.8 feet tall.

### Recreational maths with 768

• 768 backwards is 867
• The number of decimal digits it has is: 3
• The sum of 768's digits is 21
• More coming soon!