804870412800 has 960 divisors, whose sum is σ = 2957011453440. Its totient is φ = 192093880320.

The previous prime is 804870412751. The next prime is 804870412831. The reversal of 804870412800 is 8214078408.

It is a tau number, because it is divible by the number of its divisors (960).

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, 1135218846 + ... + 1135219554.

It is an arithmetic number, because the mean of its divisors is an integer number (3080220264).

Almost surely, 2^804870412800 is an apocalyptic number.

804870412800 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 804870412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478505726720).

804870412800 is an abundant number, since it is smaller than the sum of its proper divisors (2152141040640).

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

804870412800 is a wasteful number, since it uses less digits than its factorization.

804870412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The spelling of 804870412800 in words is "eight hundred four billion, eight hundred seventy million, four hundred twelve thousand, eight hundred".