804840802800 has 240 divisors, whose sum is σ = 2646706552320. Its totient is φ = 208966533120.

The previous prime is 804840802793. The next prime is 804840802861. The reversal of 804840802800 is 8208048408.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10848231 + ... + 10922169.

It is an arithmetic number, because the mean of its divisors is an integer number (11027943968).

Almost surely, 2^804840802800 is an apocalyptic number.

804840802800 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 804840802800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323353276160).

804840802800 is an abundant number, since it is smaller than the sum of its proper divisors (1841865749520).

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

804840802800 is a wasteful number, since it uses less digits than its factorization.

804840802800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74200 (or 74189 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The spelling of 804840802800 in words is "eight hundred four billion, eight hundred forty million, eight hundred two thousand, eight hundred".