806805090 has 192 divisors, whose sum is σ = 2695835520. Its totient is φ = 170190720.

The previous prime is 806805073. The next prime is 806805107. The reversal of 806805090 is 90508608.

It is an interprime number because it is at equal distance from previous prime (806805073) and next prime (806805107).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169645 + ... + 174335.

It is an arithmetic number, because the mean of its divisors is an integer number (14040810).

Almost surely, 2^806805090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806805090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347917760).

806805090 is an abundant number, since it is smaller than the sum of its proper divisors (1889030430).

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

806805090 is a wasteful number, since it uses less digits than its factorization.

806805090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4734 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 806805090 is about 28404.3146370406. The cubic root of 806805090 is about 930.9425407846.

The spelling of 806805090 in words is "eight hundred six million, eight hundred five thousand, ninety".