# 77280

## 77,280 is an even composite number composed of five prime numbers multiplied together.

What does the number 77280 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.

77280 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.

## Prime factorization of 77280:

### 25 × 3 × 5 × 7 × 23

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 23)

See below for interesting mathematical facts about the number 77280 from the Numbermatics database.

### Names of 77280

• Cardinal: 77280 can be written as Seventy-seven thousand, two hundred eighty.

### Scientific notation

• Scientific notation: 7.728 × 104

### Factors of 77280

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 40

### Divisors of 77280

• Number of divisors d(n): 96
• Complete list of divisors:
• Sum of all divisors σ(n): 290304
• Sum of proper divisors (its aliquot sum) s(n): 213024
• 77280 is an abundant number, because the sum of its proper divisors (213024) is greater than itself. Its abundance is 135744

### Bases of 77280

• Binary: 100101101111000002
• Base-36: 1NMO

### Squares and roots of 77280

• 77280 squared (772802) is 5972198400
• 77280 cubed (772803) is 461531492352000
• The square root of 77280 is 277.9928056623
• The cube root of 77280 is 42.5947137967

### Scales and comparisons

How big is 77280?
• 77,280 seconds is equal to 21 hours, 28 minutes.
• To count from 1 to 77,280 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 77280 cubic inches would be around 3.5 feet tall.

### Recreational maths with 77280

• 77280 backwards is 08277
• 77280 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 77280's digits is 24
• More coming soon!