804281856000 has 1664 divisors, whose sum is σ = 3349665546240. Its totient is φ = 167215104000.

The previous prime is 804281855941. The next prime is 804281856011. The reversal of 804281856000 is 658182408.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 6332927937 + ... + 6332928063.

It is an arithmetic number, because the mean of its divisors is an integer number (2013020160).

Almost surely, 2^804281856000 is an apocalyptic number.

804281856000 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 804281856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674832773120).

804281856000 is an abundant number, since it is smaller than the sum of its proper divisors (2545383690240).

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

804281856000 is a wasteful number, since it uses less digits than its factorization.

804281856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 804281856000 in words is "eight hundred four billion, two hundred eighty-one million, eight hundred fifty-six thousand".