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
  • Hexadecimal: 0x300
  • 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!

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"Number 768 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.

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Numbermatics. (2024). Number 768 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/768/

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The information we have on file for 768 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!

Keywords: Divisors of 768, math, Factors of 768, curriculum, school, college, exams, university, Prime factorization of 768, STEM, science, technology, engineering, physics, economics, calculator, seven hundred sixty-eight.

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