804348072 has 144 divisors (see below), whose sum is σ = 2466771840. Its totient is φ = 234576000.

The previous prime is 804348049. The next prime is 804348101. The reversal of 804348072 is 270843408.

804348072 is a `hidden beast` number, since 80 + 434 + 80 + 72 = 666.

804348072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4443822 + ... + 4444002.

It is an arithmetic number, because the mean of its divisors is an integer number (17130360).

Almost surely, 2^804348072 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 804348072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233385920).

804348072 is an abundant number, since it is smaller than the sum of its proper divisors (1662423768).

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

804348072 is a wasteful number, since it uses less digits than its factorization.

804348072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 804348072 is about 28361.0308698397. The cubic root of 804348072 is about 929.9965591271.

The spelling of 804348072 in words is "eight hundred four million, three hundred forty-eight thousand, seventy-two".