806826864 has 160 divisors (see below), whose sum is σ = 2252355840. Its totient is φ = 248371200.

The previous prime is 806826841. The next prime is 806826883. The reversal of 806826864 is 468628608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3823719 + ... + 3823929.

It is an arithmetic number, because the mean of its divisors is an integer number (14077224).

Almost surely, 2^806826864 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 806826864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126177920).

806826864 is an abundant number, since it is smaller than the sum of its proper divisors (1445528976).

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

806826864 is a wasteful number, since it uses less digits than its factorization.

806826864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 806826864 is about 28404.6979212946. The cubic root of 806826864 is about 930.9509154469.

The spelling of 806826864 in words is "eight hundred six million, eight hundred twenty-six thousand, eight hundred sixty-four".