804105288 has 144 divisors (see below), whose sum is σ = 2557027980. Its totient is φ = 227598336.

The previous prime is 804105271. The next prime is 804105307. The reversal of 804105288 is 882501408.

It can be written as a sum of positive squares in 2 ways, for example, as 789497604 + 14607684 = 28098^2 + 3822^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 397656 + ... + 399672.

Almost surely, 2^804105288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804105288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278513990).

804105288 is an abundant number, since it is smaller than the sum of its proper divisors (1752922692).

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

804105288 is a wasteful number, since it uses less digits than its factorization.

804105288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 804105288 is about 28356.7503074665. The cubic root of 804105288 is about 929.9029798200.

The spelling of 804105288 in words is "eight hundred four million, one hundred five thousand, two hundred eighty-eight".