804064144 has 60 divisors (see below), whose sum is σ = 1703896896. Its totient is φ = 367376256.

The previous prime is 804064141. The next prime is 804064159. The reversal of 804064144 is 441460408.

It is not an unprimeable number, because it can be changed into a prime (804064141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277069 + ... + 279955.

Almost surely, 2^804064144 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 804064144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851948448).

804064144 is an abundant number, since it is smaller than the sum of its proper divisors (899832752).

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

804064144 is a wasteful number, since it uses less digits than its factorization.

804064144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 804064144 is about 28356.0248271862. The cubic root of 804064144 is about 929.8871193013.

The spelling of 804064144 in words is "eight hundred four million, sixty-four thousand, one hundred forty-four".