# 768000

## 768,000 is an even composite number composed of three prime numbers multiplied together.

What does the number 768000 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 96 divisors.

768000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of ninety-six divisors.

## Prime factorization of 768000:

### 211 × 3 × 53

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

See below for interesting mathematical facts about the number 768000 from the Numbermatics database.

### Names of 768000

• Cardinal: 768000 can be written as Seven hundred sixty-eight thousand.

### Scientific notation

• Scientific notation: 7.68 × 105

### Factors of 768000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 10

### Divisors of 768000

• Number of divisors d(n): 96
• Complete list of divisors:
• Sum of all divisors σ(n): 2555280
• Sum of proper divisors (its aliquot sum) s(n): 1787280
• 768000 is an abundant number, because the sum of its proper divisors (1787280) is greater than itself. Its abundance is 1019280

### Bases of 768000

• Binary: 101110111000000000002
• Base-36: GGLC

### Squares and roots of 768000

• 768000 squared (7680002) is 589824000000
• 768000 cubed (7680003) is 452984832000000000
• The square root of 768000 is 876.3560920083
• The cube root of 768000 is 91.5771394043

### Scales and comparisons

How big is 768000?
• 768,000 seconds is equal to 1 week, 1 day, 21 hours, 20 minutes.
• To count from 1 to 768,000 would take you about twenty-one 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 768000 cubic inches would be around 7.6 feet tall.

### Recreational maths with 768000

• 768000 backwards is 000867
• The number of decimal digits it has is: 6
• The sum of 768000's digits is 21
• More coming soon!