806085280 has 288 divisors, whose sum is σ = 2606204160. Its totient is φ = 231598080.

The previous prime is 806085271. The next prime is 806085283. The reversal of 806085280 is 82580608.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806085283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1120761 + ... + 1121479.

It is an arithmetic number, because the mean of its divisors is an integer number (9049320).

Almost surely, 2^806085280 is an apocalyptic number.

806085280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806085280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303102080).

806085280 is an abundant number, since it is smaller than the sum of its proper divisors (1800118880).

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

806085280 is a wasteful number, since it uses less digits than its factorization.

806085280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 806085280 is about 28391.6410233717. The cubic root of 806085280 is about 930.6656043680.

The spelling of 806085280 in words is "eight hundred six million, eighty-five thousand, two hundred eighty".