804165360 has 160 divisors (see below), whose sum is σ = 2639831040. Its totient is φ = 202159104.

The previous prime is 804165359. The next prime is 804165361. The reversal of 804165360 is 63561408.

It is an interprime number because it is at equal distance from previous prime (804165359) and next prime (804165361).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804165361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297937 + ... + 300623.

It is an arithmetic number, because the mean of its divisors is an integer number (16498944).

Almost surely, 2^804165360 is an apocalyptic number.

804165360 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 804165360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319915520).

804165360 is an abundant number, since it is smaller than the sum of its proper divisors (1835665680).

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

804165360 is a wasteful number, since it uses less digits than its factorization.

804165360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 804165360 is about 28357.8095063776. The cubic root of 804165360 is about 929.9261358841.

The spelling of 804165360 in words is "eight hundred four million, one hundred sixty-five thousand, three hundred sixty".