804955968 has 168 divisors, whose sum is σ = 2429743680. Its totient is φ = 264539520.

The previous prime is 804955873. The next prime is 804955999. The reversal of 804955968 is 869559408.

It is a happy number.

804955968 is a `hidden beast` number, since 8 + 0 + 49 + 5 + 596 + 8 = 666.

It is a super-2 number, since 2×804955968² = 1295908220837634048, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11337373 + ... + 11337443.

It is an arithmetic number, because the mean of its divisors is an integer number (14462760).

Almost surely, 2^804955968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214871840).

804955968 is an abundant number, since it is smaller than the sum of its proper divisors (1624787712).

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

804955968 is an frugal number, since it uses more digits than its factorization.

804955968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

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

The square root of 804955968 is about 28371.7459455706. The cubic root of 804955968 is about 930.2307855963.

The spelling of 804955968 in words is "eight hundred four million, nine hundred fifty-five thousand, nine hundred sixty-eight".