806877 has 6 divisors (see below), whose sum is σ = 1165502. Its totient is φ = 537912.

The previous prime is 806857. The next prime is 806893. The reversal of 806877 is 778608.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 793881 + 12996 = 891^2 + 114^2 .

It is not a de Polignac number, because 806877 - 2¹⁰ = 805853 is a prime.

It is a super-3 number, since 3×806877³ = 1575953006233344399, which contains 333 as substring.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44818 + ... + 44835.

2⁸⁰⁶⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

806877 is a deficient number, since it is larger than the sum of its proper divisors (358625).

806877 is a wasteful number, since it uses less digits than its factorization.

806877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89659 (or 89656 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 806877 is about 898.2633244211. The cubic root of 806877 is about 93.0970198059.

The spelling of 806877 in words is "eight hundred six thousand, eight hundred seventy-seven".