805998304512 has 720 divisors, whose sum is σ = 2626652109312. Its totient is φ = 245102837760.

The previous prime is 805998304451. The next prime is 805998304519. The reversal of 805998304512 is 215403899508.

805998304512 is a `hidden beast` number, since 8 + 0 + 5 + 9 + 98 + 30 + 4 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805998304519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 919039818 + ... + 919040694.

Almost surely, 2^805998304512 is an apocalyptic number.

805998304512 is a gapful number since it is divisible by the number (82) 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 805998304512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313326054656).

805998304512 is an abundant number, since it is smaller than the sum of its proper divisors (1820653804800).

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

805998304512 is a wasteful number, since it uses less digits than its factorization.

805998304512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 805998304512 in words is "eight hundred five billion, nine hundred ninety-eight million, three hundred four thousand, five hundred twelve".