803296000 has 144 divisors (see below), whose sum is σ = 2156158368. Its totient is φ = 296448000.

The previous prime is 803295979. The next prime is 803296049. The reversal of 803296000 is 692308.

It is a self number, because there is not a number n which added to its sum of digits gives 803296000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415035 + ... + 416965.

It is an arithmetic number, because the mean of its divisors is an integer number (14973322).

Almost surely, 2^803296000 is an apocalyptic number.

803296000 is a gapful number since it is divisible by the number (80) 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 803296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078079184).

803296000 is an abundant number, since it is smaller than the sum of its proper divisors (1352862368).

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

803296000 is a wasteful number, since it uses less digits than its factorization.

803296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 803296000 is about 28342.4769559755. The cubic root of 803296000 is about 929.5909096035.

The spelling of 803296000 in words is "eight hundred three million, two hundred ninety-six thousand".