806736 has 60 divisors (see below), whose sum is σ = 2431392. Its totient is φ = 230496.

The previous prime is 806719. The next prime is 806737. The reversal of 806736 is 637608.

It is an Ulam number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115245 + ... + 115251.

806736 is a Friedman number, since it can be written as 8*7^(6-3^0)*6, using all its digits and the basic arithmetic operations.

2⁸⁰⁶⁷³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215696).

806736 is an abundant number, since it is smaller than the sum of its proper divisors (1624656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

806736 is an frugal number, since it uses more digits than its factorization.

806736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 806736 is about 898.1848362113. The cubic root of 806736 is about 93.0915966561.

The spelling of 806736 in words is "eight hundred six thousand, seven hundred thirty-six".