Properties of the Number 78880

Seventy-Eight Thousand Eight Hundred Eighty

Basics

Value: 78879 → 78880 → 78881

Parity: even

Prime: No

Previous Prime: 78877

Next Prime: 78887

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 5 × 17 × 29

Divisors: 1, 2, 4, 5, 8, 10, 16, 17, 20, 29

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010000100000

Octal: 232040

Duodecimal: 39794

Hexadecimal: 13420

Square: 6222054400

Square Root: 280.8558349046713

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction. A221483

Triangle read by rows: T(n,k) = number of connected matchings with n crossings and k chords, in a disk, k=2..n+1. A232223

Triangle of Touchard's chord enumerating polynomial coefficients [x^k] P_n(x). A322456

Number of n X 3 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction. A221478

a(n) = 4·n*(n² - 3·n - 1)/3. A275876

a(n) = least positive integer m such that when m*(m+1) is written in base n, it does not contain the digits 0 or n-1 and contains every single digit from 1 to n-2 exactly once, or 0 if no such number exists. A382055

Number of 7Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction. A221489

The sequence starting with 2 that equals its own run length sequence. A78880