# 76800

## 76,800 is an even composite number composed of three prime numbers multiplied together.

What does the number 76800 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 66 divisors.

76800 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-six divisors.

## Prime factorization of 76800:

### 210 × 3 × 52

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

See below for interesting mathematical facts about the number 76800 from the Numbermatics database.

### Names of 76800

• Cardinal: 76800 can be written as Seventy-six thousand, eight hundred.

### Scientific notation

• Scientific notation: 7.68 × 104

### Factors of 76800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 10

### Divisors of 76800

• Number of divisors d(n): 66
• Complete list of divisors:
• Sum of all divisors σ(n): 253828
• Sum of proper divisors (its aliquot sum) s(n): 177028
• 76800 is an abundant number, because the sum of its proper divisors (177028) is greater than itself. Its abundance is 100228

### Bases of 76800

• Binary: 100101100000000002
• Base-36: 1N9C

### Squares and roots of 76800

• 76800 squared (768002) is 5898240000
• 76800 cubed (768003) is 452984832000000
• The square root of 76800 is 277.1281292111
• The cube root of 76800 is 42.5063427673

### Scales and comparisons

How big is 76800?
• 76,800 seconds is equal to 21 hours, 20 minutes.
• To count from 1 to 76,800 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 76800 cubic inches would be around 3.5 feet tall.

### Recreational maths with 76800

• 76800 backwards is 00867
• The number of decimal digits it has is: 5
• The sum of 76800's digits is 21
• More coming soon!