805867096320 has 864 divisors, whose sum is σ = 3418247589120. Its totient is φ = 172485181440.

The previous prime is 805867096277. The next prime is 805867096339. The reversal of 805867096320 is 23690768508.

It is a happy 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, 37878646 + ... + 37899914.

It is an arithmetic number, because the mean of its divisors is an integer number (3956305080).

Almost surely, 2^805867096320 is an apocalyptic number.

805867096320 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 805867096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709123794560).

805867096320 is an abundant number, since it is smaller than the sum of its proper divisors (2612380492800).

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

805867096320 is a wasteful number, since it uses less digits than its factorization.

805867096320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21343 (or 21326 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 805867096320 in words is "eight hundred five billion, eight hundred sixty-seven million, ninety-six thousand, three hundred twenty".