804091200 has 336 divisors, whose sum is σ = 2926104384. Its totient is φ = 191692800.

The previous prime is 804091193. The next prime is 804091213. The reversal of 804091200 is 2190408.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5121522 + ... + 5121678.

It is an arithmetic number, because the mean of its divisors is an integer number (8708644).

Almost surely, 2^804091200 is an apocalyptic number.

804091200 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 804091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463052192).

804091200 is an abundant number, since it is smaller than the sum of its proper divisors (2122013184).

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

804091200 is a wasteful number, since it uses less digits than its factorization.

804091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 804091200 is about 28356.5018999171. The cubic root of 804091200 is about 929.8975491258.

The spelling of 804091200 in words is "eight hundred four million, ninety-one thousand, two hundred".