804127104 has 384 divisors, whose sum is σ = 2749593600. Its totient is φ = 223027200.

The previous prime is 804127091. The next prime is 804127111. The reversal of 804127104 is 401721408.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9035092 + ... + 9035180.

It is an arithmetic number, because the mean of its divisors is an integer number (7160400).

Almost surely, 2^804127104 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 804127104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374796800).

804127104 is an abundant number, since it is smaller than the sum of its proper divisors (1945466496).

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

804127104 is a wasteful number, since it uses less digits than its factorization.

804127104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 804127104 is about 28357.1349751698. The cubic root of 804127104 is about 929.9113894069.

The spelling of 804127104 in words is "eight hundred four million, one hundred twenty-seven thousand, one hundred four".