# 78125

## 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:

### 57

(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
• 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!