804481048800 has 1728 divisors, whose sum is σ = 3541811809536. Its totient is φ = 175575859200.

The previous prime is 804481048793. The next prime is 804481048801. The reversal of 804481048800 is 8840184408.

804481048800 is a `hidden beast` number, since 80 + 448 + 10 + 48 + 80 + 0 = 666.

804481048800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804481048801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1195365264 + ... + 1195365936.

It is an arithmetic number, because the mean of its divisors is an integer number (2049659612).

Almost surely, 2^804481048800 is an apocalyptic number.

804481048800 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 804481048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770905904768).

804481048800 is an abundant number, since it is smaller than the sum of its proper divisors (2737330760736).

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

804481048800 is a wasteful number, since it uses less digits than its factorization.

804481048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 804481048800 in words is "eight hundred four billion, four hundred eighty-one million, forty-eight thousand, eight hundred".