803968896 has 128 divisors (see below), whose sum is σ = 2284277760. Its totient is φ = 249651200.

The previous prime is 803968889. The next prime is 803968901. The reversal of 803968896 is 698869308.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 697921 + ... + 699071.

It is an arithmetic number, because the mean of its divisors is an integer number (17845920).

Almost surely, 2^803968896 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 803968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142138880).

803968896 is an abundant number, since it is smaller than the sum of its proper divisors (1480308864).

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

803968896 is a wasteful number, since it uses less digits than its factorization.

803968896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The square root of 803968896 is about 28354.3452754600. The cubic root of 803968896 is about 929.8504002632.

The spelling of 803968896 in words is "eight hundred three million, nine hundred sixty-eight thousand, eight hundred ninety-six".