Properties of the Number 78840

Seventy-Eight Thousand Eight Hundred Forty

Basics

Value: 78839 → 78840 → 78841

Parity: even

Prime: No

Previous Prime: 78839

Next Prime: 78853

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 5 × 73

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011001111111000

Octal: 231770

Duodecimal: 39760

Hexadecimal: 133f8

Square: 6215745600

Square Root: 280.7846149631422

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

a(n) = 4·n³ + 4·n. A105374

E.g.f. satisfies A(x)^A(x) = 1/(1 - x)^x. A356905

Expansion of e.g.f. -log(1 + x²/2·log(1 - x)). A368165

Number of length n sequences on alphabet {0,1,2} that contain all of 00, 01, 02, 10, 11, 12, 20, 21, 22 as (possibly overlapping) contiguous subsequences. A243862

Triangle, T(n, k) = (1/2)*(n+2)! * [x^k]( p(x, n) ), where p(x,0) = 1, p(x,1) = -x, P(x, n) = (1/(n+1))*( (2·n-x)*P(x, n-1) - n·P(x, n-2) ), read by rows. A136532

Number of 2 X n 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero. A231050

Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0. A37602

Expansion of (1+3·x+9·x²+12·x³+11·x⁴+3·x⁵+x⁶)/((1-x)²*(1-x²)²*(1-x³)). A55383

Table of n-almost-primes T(n,k) (n >= 0, k > 0), read by antidiagonals, starting at T(0,1)=1 followed by T(1,1)=2. A78840

a(n) = [xⁿ] η(x)^3ⁿ. A158113