804816000 has 512 divisors, whose sum is σ = 3131481600. Its totient is φ = 205286400.

The previous prime is 804815981. The next prime is 804816007. The reversal of 804816000 is 618408.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (804816007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34991989 + ... + 34992011.

It is an arithmetic number, because the mean of its divisors is an integer number (6116175).

Almost surely, 2^804816000 is an apocalyptic number.

804816000 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 804816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565740800).

804816000 is an abundant number, since it is smaller than the sum of its proper divisors (2326665600).

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

804816000 is an frugal number, since it uses more digits than its factorization.

804816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 804816000 is about 28369.2791589776. The cubic root of 804816000 is about 930.1768654255.

The spelling of 804816000 in words is "eight hundred four million, eight hundred sixteen thousand".