805305984 has 192 divisors, whose sum is σ = 2515368960. Its totient is φ = 227598336.

The previous prime is 805305979. The next prime is 805306043. The reversal of 805305984 is 489503508.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2389464 + ... + 2389800.

It is an arithmetic number, because the mean of its divisors is an integer number (13100880).

Almost surely, 2^805305984 is an apocalyptic number.

805305984 is a gapful number since it is divisible by the number (84) 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 805305984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257684480).

805305984 is an abundant number, since it is smaller than the sum of its proper divisors (1710062976).

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

805305984 is a wasteful number, since it uses less digits than its factorization.

805305984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 805305984 is about 28377.9136653842. The cubic root of 805305984 is about 930.3655956524.

The spelling of 805305984 in words is "eight hundred five million, three hundred five thousand, nine hundred eighty-four".