802816160 has 48 divisors (see below), whose sum is σ = 2008227816. Its totient is φ = 302235648.

The previous prime is 802816153. The next prime is 802816163. The reversal of 802816160 is 61618208.

It can be written as a sum of positive squares in 4 ways, for example, as 780196624 + 22619536 = 27932^2 + 4756^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (802816163) 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, 144857 + ... + 150296.

Almost surely, 2^802816160 is an apocalyptic number.

802816160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

802816160 is an abundant number, since it is smaller than the sum of its proper divisors (1205411656).

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

802816160 is a wasteful number, since it uses less digits than its factorization.

802816160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295185 (or 295177 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 802816160 is about 28334.0106585707. The cubic root of 802816160 is about 929.4057791132.

The spelling of 802816160 in words is "eight hundred two million, eight hundred sixteen thousand, one hundred sixty".