804072320 has 64 divisors (see below), whose sum is σ = 1969183440. Its totient is φ = 313774080.

The previous prime is 804072301. The next prime is 804072359. The reversal of 804072320 is 23270408.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 804072320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10919 + ... + 41561.

Almost surely, 2^804072320 is an apocalyptic number.

804072320 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 804072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984591720).

804072320 is an abundant number, since it is smaller than the sum of its proper divisors (1165111120).

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

804072320 is a wasteful number, since it uses less digits than its factorization.

804072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30703 (or 30691 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 804072320 is about 28356.1689937128. The cubic root of 804072320 is about 929.8902710944.

The spelling of 804072320 in words is "eight hundred four million, seventy-two thousand, three hundred twenty".