# 78400

## 78,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 78400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 63 divisors.

78400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-three divisors.

## Prime factorization of 78400:

### 26 × 52 × 72

(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7)

See below for interesting mathematical facts about the number 78400 from the Numbermatics database.

### Names of 78400

• Cardinal: 78400 can be written as Seventy-eight thousand, four hundred.

### Scientific notation

• Scientific notation: 7.84 × 104

### Factors of 78400

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 14

### Divisors of 78400

• Number of divisors d(n): 63
• Complete list of divisors:
• Sum of all divisors σ(n): 224409
• Sum of proper divisors (its aliquot sum) s(n): 146009
• 78400 is an abundant number, because the sum of its proper divisors (146009) is greater than itself. Its abundance is 67609

### Bases of 78400

• Binary: 100110010010000002
• Base-36: 1OHS

### Squares and roots of 78400

• 78400 squared (784002) is 6146560000
• 78400 cubed (784003) is 481890304000000
• 78400 is a perfect square number. Its square root is 280
• The cube root of 78400 is 42.7994992225

### Scales and comparisons

How big is 78400?
• 78,400 seconds is equal to 21 hours, 46 minutes, 40 seconds.
• To count from 1 to 78,400 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 78400 cubic inches would be around 3.6 feet tall.

### Recreational maths with 78400

• 78400 backwards is 00487
• The number of decimal digits it has is: 5
• The sum of 78400's digits is 19
• More coming soon!