804988800 has 768 divisors, whose sum is σ = 3703334400. Its totient is φ = 167270400.

The previous prime is 804988783. The next prime is 804988813. The reversal of 804988800 is 8889408.

804988800 is a `hidden beast` number, since 80 + 498 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 73180795 + ... + 73180805.

It is an arithmetic number, because the mean of its divisors is an integer number (4822050).

Almost surely, 2^804988800 is an apocalyptic number.

804988800 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 804988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851667200).

804988800 is an abundant number, since it is smaller than the sum of its proper divisors (2898345600).

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

804988800 is a wasteful number, since it uses less digits than its factorization.

804988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 804988800 is about 28372.3245434702. The cubic root of 804988800 is about 930.2434326326.

It can be divided in two parts, 80498 and 8800, that added together give a palindrome (89298).

The spelling of 804988800 in words is "eight hundred four million, nine hundred eighty-eight thousand, eight hundred".