804301920 has 384 divisors, whose sum is σ = 3048192000. Its totient is φ = 197406720.

The previous prime is 804301919. The next prime is 804301991. The reversal of 804301920 is 29103408.

804301920 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3365161 + ... + 3365399.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2^804301920 is an apocalyptic number.

804301920 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 804301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096000).

804301920 is an abundant number, since it is smaller than the sum of its proper divisors (2243890080).

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

804301920 is a wasteful number, since it uses less digits than its factorization.

804301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 804301920 is about 28360.2172065025. The cubic root of 804301920 is about 929.9787716278.

The spelling of 804301920 in words is "eight hundred four million, three hundred one thousand, nine hundred twenty".