806681328 has 80 divisors (see below), whose sum is σ = 2205454080. Its totient is φ = 253366272.

The previous prime is 806681303. The next prime is 806681329. The reversal of 806681328 is 823186608.

It is a self number, because there is not a number n which added to its sum of digits gives 806681328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806681329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173725 + ... + 178307.

It is an arithmetic number, because the mean of its divisors is an integer number (27568176).

Almost surely, 2^806681328 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 806681328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102727040).

806681328 is an abundant number, since it is smaller than the sum of its proper divisors (1398772752).

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

806681328 is a wasteful number, since it uses less digits than its factorization.

806681328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 806681328 is about 28402.1359760142. The cubic root of 806681328 is about 930.8949368862.

The spelling of 806681328 in words is "eight hundred six million, six hundred eighty-one thousand, three hundred twenty-eight".