804115440 has 120 divisors (see below), whose sum is σ = 2737659600. Its totient is φ = 211479552.

The previous prime is 804115427. The next prime is 804115463. The reversal of 804115440 is 44511408.

It is a happy number.

804115440 is a `hidden beast` number, since 80 + 41 + 1 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44911 + ... + 60209.

It is an arithmetic number, because the mean of its divisors is an integer number (22813830).

Almost surely, 2^804115440 is an apocalyptic number.

804115440 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 804115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368829800).

804115440 is an abundant number, since it is smaller than the sum of its proper divisors (1933544160).

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

804115440 is a wasteful number, since it uses less digits than its factorization.

804115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15391 (or 15382 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 804115440 is about 28356.9293118984. The cubic root of 804115440 is about 929.9068932110.

Adding to 804115440 its reverse (44511408), we get a palindrome (848626848).

The spelling of 804115440 in words is "eight hundred four million, one hundred fifteen thousand, four hundred forty".