805980160 has 96 divisors (see below), whose sum is σ = 1997049600. Its totient is φ = 311869440.

The previous prime is 805980137. The next prime is 805980163. The reversal of 805980160 is 61089508.

It is not an unprimeable number, because it can be changed into a prime (805980163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316171 + ... + 318709.

It is an arithmetic number, because the mean of its divisors is an integer number (20802600).

Almost surely, 2^805980160 is an apocalyptic number.

805980160 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 805980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998524800).

805980160 is an abundant number, since it is smaller than the sum of its proper divisors (1191069440).

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

805980160 is a wasteful number, since it uses less digits than its factorization.

805980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 805980160 is about 28389.7897139095. The cubic root of 805980160 is about 930.6251471841.

The spelling of 805980160 in words is "eight hundred five million, nine hundred eighty thousand, one hundred sixty".