# 780

## 780 is an even composite number composed of four prime numbers multiplied together.

What does the number 780 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

780 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 780:

### 22 × 3 × 5 × 13

(2 × 2 × 3 × 5 × 13)

See below for interesting mathematical facts about the number 780 from the Numbermatics database.

### Names of 780

• Cardinal: 780 can be written as Seven hundred eighty.

### Scientific notation

• Scientific notation: 7.8 × 102

### Factors of 780

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 23

### Divisors of 780

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 2352
• Sum of proper divisors (its aliquot sum) s(n): 1572
• 780 is an abundant number, because the sum of its proper divisors (1572) is greater than itself. Its abundance is 792

### Bases of 780

• Binary: 11000011002
• Base-36: LO

### Squares and roots of 780

• 780 squared (7802) is 608400
• 780 cubed (7803) is 474552000
• The square root of 780 is 27.9284800875
• The cube root of 780 is 9.2051640827

### Scales and comparisons

How big is 780?
• 780 seconds is equal to 13 minutes.
• To count from 1 to 780 would take you about six minutes.

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 780 cubic inches would be around 0.8 feet tall.

### Recreational maths with 780

• 780 backwards is 087
• 780 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 780's digits is 15
• More coming soon!