78400
Number 78400: Properties, Factors, and Mathematical Facts
Short answer
The number 78400 is an even composite number with 63 positive divisors. Its prime factorization is 2⁶ × 5² × 7². It is also an abundant number and a perfect square, which gives it several notable mathematical relationships.
Is 78400 prime?
ClassificationCompositeParityEvenDivisor count63AbundanceAbundant
What is the prime factorization of 78400?
Prime factorization
2 to the power of 6 times 5 squared times 7 squared
What are the divisors of 78400?
Divisor count
63
Divisor sum
224,409
Proper divisor sum
146,009
- 1
- 2
- 4
- 5
- 7
- 8
- 10
- 14
- 16
- 20
- 25
- 28
- 32
- 35
- 40
- 49
- 50
- 56
- 64
- 70
- 80
- 98
- 100
- 112
How is 78400 classified?
Prime
CompositeLearn more →
Perfect square
YesLearn more →
Perfect cube
No
Fibonacci
No
Triangular
No
Power of two
No
How is 78400 represented in other numeral systems?
Decimal
78400
Binary
10011001001000000
Octal
231100
Hexadecimal
13240
Roman
No conventional Roman numeral
In words
seventy eight thousand four hundred
Roots and powers
Square root
280 Exact
Cube root
42.799499 Approximate
Nearest lower square
78400
Nearest higher square
78961
Nearest lower cube
74088
Nearest higher cube
79507
What are the digit properties of 78400?
Which numbers are related to 78400?
Why these results are true
- 78400 is composite because it has positive divisors other than 1 and itself.
- 78400 is abundant because the sum of its proper divisors (146009) is greater than 78400.
Compare this number
FAQ for 78400
- Is 78400 prime?
- No
- What is the prime factorization of 78400?
- 2⁶ × 5² × 7²
- Is 78400 a perfect square?
- Yes
- What is 78400 in binary?
- 10011001001000000