768800

768,800 is an even composite number composed of three prime numbers multiplied together.

What does the number 768800 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

768800 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

Prime factorization of 768800:

2⁵ × 5² × 31²

(2 × 2 × 2 × 2 × 2 × 5 × 5 × 31 × 31)

See below for interesting mathematical facts about the number 768800 from the Numbermatics database.

Names of 768800

Cardinal: 768800 can be written as Seven hundred sixty-eight thousand, eight hundred.

Scientific notation

Scientific notation: 7.688 × 10⁵

Factors of 768800

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 38

Divisors of 768800

Number of divisors d(n): 54
Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 961 992 1240 1550 1922 2480 3100 3844 4805 4960 6200 7688 9610 12400 15376 19220 24025 24800 30752 38440 48050 76880 96100 153760 192200 384400 768800
Sum of all divisors σ(n): 1939329
Sum of proper divisors (its aliquot sum) s(n): 1170529
768800 is an abundant number, because the sum of its proper divisors (1170529) is greater than itself. Its abundance is 401729

Bases of 768800

Binary: 10111011101100100000₂
Hexadecimal: 0xBBB20
Base-36: GH7K

Squares and roots of 768800

768800 squared (768800²) is 591053440000
768800 cubed (768800³) is 454401884672000000
The square root of 768800 is 876.8124086713
The cube root of 768800 is 91.6089259877

Scales and comparisons

How big is 768800?

768,800 seconds is equal to 1 week, 1 day, 21 hours, 33 minutes, 20 seconds.
To count from 1 to 768,800 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 768800 cubic inches would be around 7.6 feet tall.

Recreational maths with 768800

768800 backwards is 008867
The number of decimal digits it has is: 6
The sum of 768800's digits is 29
More coming soon!

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The information we have on file for 768800 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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