Properties of the Number 78080

Seventy-Eight Thousand Eighty

Basics

Value: 78079 → 78080 → 78081

Parity: even

Prime: No

Previous Prime: 78079

Next Prime: 78101

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁸ × 5 × 61

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000100000000

Octal: 230400

Duodecimal: 39228

Hexadecimal: 13100

Square: 6096486400

Square Root: 279.42798714516766

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

Number of triangles in an n X n unit grid that have minimal possible area (of 1/2). A88658

Trinomial transform of the Fibonacci numbers (A000045). A82761

a(n) = ∑_{i=1..n, j=1..n, gcd(i,j)=2} (n+1-i)*(n+1-j). A331761

T(m,n) is the number of suitably connected m X n Legendrian mosaics read by rows, with 1<=n<=m. A375354

a(n)*a(n+3) - a(n+1)*a(n+2) = 2ⁿ, given a(0)=1, a(1)=1, a(2)=3. A80878

Number of permutations of [n] in which the length of every increasing run is 0 or 1 (mod 7). A322297

Number of partitions of n such that the least part occurs with even multiplicity. A96374

Row sums of triangle A099602, in which row n equals the inverse binomial transform of column n of the triangle of trinomial coefficients (A027907). A99603

G.f.: ∑_n>=0 2^n²*(1 + 2ⁿ*x)ⁿ*xⁿ. A168480

Number of length-n phone numbers that can be dialed by a chess knight on a 0-9 keypad that starts on any number and takes n-1 steps. A327692