805973168 has 240 divisors, whose sum is σ = 2178432000. Its totient is φ = 286191360.

The previous prime is 805973143. The next prime is 805973197. The reversal of 805973168 is 861379508.

It is a happy number.

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, 10202153 + ... + 10202231.

It is an arithmetic number, because the mean of its divisors is an integer number (9076800).

Almost surely, 2^805973168 is an apocalyptic number.

805973168 is a gapful number since it is divisible by the number (88) 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 805973168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089216000).

805973168 is an abundant number, since it is smaller than the sum of its proper divisors (1372458832).

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

805973168 is a wasteful number, since it uses less digits than its factorization.

805973168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 805973168 is about 28389.6665707789. Note that the first 3 decimals coincide. The cubic root of 805973168 is about 930.6224560716.

The spelling of 805973168 in words is "eight hundred five million, nine hundred seventy-three thousand, one hundred sixty-eight".