# 678400

## 678,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 678400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

678400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 678400:

### 29 × 52 × 53

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 53)

See below for interesting mathematical facts about the number 678400 from the Numbermatics database.

### Names of 678400

• Cardinal: 678400 can be written as Six hundred seventy-eight thousand, four hundred.

### Scientific notation

• Scientific notation: 6.784 × 105

### Factors of 678400

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 60

### Divisors of 678400

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 1712502
• Sum of proper divisors (its aliquot sum) s(n): 1034102
• 678400 is an abundant number, because the sum of its proper divisors (1034102) is greater than itself. Its abundance is 355702

### Bases of 678400

• Binary: 101001011010000000002
• Base-36: EJGG

### Squares and roots of 678400

• 678400 squared (6784002) is 460226560000
• 678400 cubed (6784003) is 312217698304000000
• The square root of 678400 is 823.6504112789
• The cube root of 678400 is 87.8675694011

### Scales and comparisons

How big is 678400?
• 678,400 seconds is equal to 20 hours, 26 minutes, 40 seconds.
• To count from 1 to 678,400 would take you about twenty 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 678400 cubic inches would be around 7.3 feet tall.

### Recreational maths with 678400

• 678400 backwards is 004876
• 678400 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 678400's digits is 25
• More coming soon!