# 7980

## 7,980 is an even composite number composed of five prime numbers multiplied together.

What does the number 7980 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 48 divisors.

7980 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 7980:

### 22 × 3 × 5 × 7 × 19

(2 × 2 × 3 × 5 × 7 × 19)

See below for interesting mathematical facts about the number 7980 from the Numbermatics database.

### Names of 7980

• Cardinal: 7980 can be written as Seven thousand, nine hundred eighty.

### Scientific notation

• Scientific notation: 7.98 × 103

### Factors of 7980

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 36

### Divisors of 7980

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 26880
• Sum of proper divisors (its aliquot sum) s(n): 18900
• 7980 is an abundant number, because the sum of its proper divisors (18900) is greater than itself. Its abundance is 10920

### Bases of 7980

• Binary: 11111001011002
• Base-36: 65O

### Squares and roots of 7980

• 7980 squared (79802) is 63680400
• 7980 cubed (79803) is 508169592000
• The square root of 7980 is 89.3308457365
• The cube root of 7980 is 19.9833194251

### Scales and comparisons

How big is 7980?
• 7,980 seconds is equal to 2 hours, 13 minutes.
• To count from 1 to 7,980 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 7980 cubic inches would be around 1.7 feet tall.

### Recreational maths with 7980

• 7980 backwards is 0897
• The number of decimal digits it has is: 4
• The sum of 7980's digits is 24
• More coming soon!

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Numbermatics. (2022). Number 7980 - Facts about the integer. Retrieved 30 June 2022, from https://numbermatics.com/n/7980/

Chicago style:
Numbermatics. 2022. "Number 7980 - Facts about the integer". https://numbermatics.com/n/7980/

The information we have on file for 7980 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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