Properties of the Number 77400

Seventy-Seven Thousand Four Hundred

Basics

Value: 77399 → 77400 → 77401

Parity: even

Prime: No

Previous Prime: 77383

Next Prime: 77417

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 ² × 43

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

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Representations

Binary: 10010111001011000

Octal: 227130

Duodecimal: 38960

Hexadecimal: 12e58

Square: 5990760000

Square Root: 278.20855486487113

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

This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of triangular numbers. The p-th row (p>=1) contains a(i,p) for i=1 to 2·p-1, where a(i,p) satisfies ∑_i=1..n C(i+1,2)^p = 3·C(n+2,3) * ∑_i=1..2·p-1 a(i,p) * C(n-1,i-1)/(i+2). A87127

q-factorial numbers for q=-7. A15020

Numbers k such that 3k - 1 divides 3^k - 1. A273614

Triangular numbers that are 7 times triangular numbers. A77400

Smallest number with exactly n representations as sum of a squarefree number (A005117) and a square (A000290). A85264

Number of nX7 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 1 vertically. A207513