# 756

## 756 is an even composite number composed of three prime numbers multiplied together.

756 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 756:

### 22 × 33 × 7

(2 × 2 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 756 from the Numbermatics database.

### Names of 756

• Cardinal: 756 can be written as Seven hundred fifty-six.

### Scientific notation

• Scientific notation: 7.56 × 102

### Factors of 756

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 12

### Divisors of 756

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 2240
• Sum of proper divisors (its aliquot sum) s(n): 1484
• 756 is an abundant number, because the sum of its proper divisors (1484) is greater than itself. Its abundance is 728

### Bases of 756

• Binary: 1011110100 2

### Squares and roots of 756

• 756 squared (7562) is 571536
• 756 cubed (7563) is 432081216
• The square root of 756 is 27.4954541697
• The cube root of 756 is 9.1097669157

### Scales and comparisons

How big is 756?
• 756 seconds is equal to 12 minutes, 36 seconds.
• To count from 1 to 756 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.

Note: we do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!

• A cube with a volume of 756 cubic inches would be around 0.8 feet tall.

### Recreational maths with 756

• 756 backwards is 657
• 756 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 756's digits is 18
• More coming soon!

The information we have on file for 756 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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