78,125 is an odd composite number. It is composed of a single prime number multiplied by itself six times.

What does the number 78125 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 8 divisors.

78125 is an odd composite number. It is composed of one distinct prime number multiplied by itself six times. It has a total of eight divisors.

Prime factorization of 78125:


(5 × 5 × 5 × 5 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 78125 from the Numbermatics database.

Names of 78125

  • Cardinal: 78125 can be written as Seventy-eight thousand, one hundred twenty-five.

Scientific notation

  • Scientific notation: 7.8125 × 104

Factors of 78125

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 7
  • Sum of prime factors: 5

Divisors of 78125

  • Number of divisors d(n): 8
  • Complete list of divisors:
  • Sum of all divisors σ(n): 97656
  • Sum of proper divisors (its aliquot sum) s(n): 19531
  • 78125 is a deficient number, because the sum of its proper divisors (19531) is less than itself. Its deficiency is 58594

Bases of 78125

  • Binary: 100110001001011012
  • Hexadecimal: 0x1312D
  • Base-36: 1OA5

Squares and roots of 78125

  • 78125 squared (781252) is 6103515625
  • 78125 cubed (781253) is 476837158203125
  • The square root of 78125 is 279.5084971875
  • The cube root of 78125 is 42.7493986669

Scales and comparisons

How big is 78125?
  • 78,125 seconds is equal to 21 hours, 42 minutes, 5 seconds.
  • To count from 1 to 78,125 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 78125 cubic inches would be around 3.6 feet tall.

Recreational maths with 78125

  • 78125 backwards is 52187
  • The number of decimal digits it has is: 5
  • The sum of 78125's digits is 23
  • More coming soon!

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"Number 78125 - Facts about the integer". Numbermatics.com. 2023. Web. 8 December 2023.

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The information we have on file for 78125 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 78125, math, Factors of 78125, curriculum, school, college, exams, university, Prime factorization of 78125, STEM, science, technology, engineering, physics, economics, calculator, seventy-eight thousand, one hundred twenty-five.

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