803768 has 32 divisors (see below), whose sum is σ = 1781760. Its totient is φ = 332640.

The previous prime is 803749. The next prime is 803813. The reversal of 803768 is 867308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1505 + ... + 1967.

It is an arithmetic number, because the mean of its divisors is an integer number (55680).

2⁸⁰³⁷⁶⁸ 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 803768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890880).

803768 is an abundant number, since it is smaller than the sum of its proper divisors (977992).

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

803768 is a wasteful number, since it uses less digits than its factorization.

803768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 803768 is about 896.5310926008. The cubic root of 803768 is about 92.9772943375.

The spelling of 803768 in words is "eight hundred three thousand, seven hundred sixty-eight".