805019904000 has 2304 divisors, whose sum is σ = 3514429900800. Its totient is φ = 180486144000.

The previous prime is 805019903953. The next prime is 805019904001. The reversal of 805019904000 is 409910508.

805019904000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (805019904001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25968383985 + ... + 25968384015.

It is an arithmetic number, because the mean of its divisors is an integer number (1525360200).

Almost surely, 2^805019904000 is an apocalyptic number.

805019904000 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 805019904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757214950400).

805019904000 is an abundant number, since it is smaller than the sum of its proper divisors (2709409996800).

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

805019904000 is a wasteful number, since it uses less digits than its factorization.

805019904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 805019904000 in words is "eight hundred five billion, nineteen million, nine hundred four thousand".