800728 has 16 divisors (see below), whose sum is σ = 1517760. Its totient is φ = 396000.

The previous prime is 800711. The next prime is 800729. The reversal of 800728 is 827008.

800728 = T₇₂ + T₇₃ + ... + T₁₇₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 313 + ... + 1303.

It is an arithmetic number, because the mean of its divisors is an integer number (94860).

2⁸⁰⁰⁷²⁸ is an apocalyptic number.

It is an amenable number.

800728 is a deficient number, since it is larger than the sum of its proper divisors (717032).

800728 is a wasteful number, since it uses less digits than its factorization.

800728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 800728 is about 894.8340628295. The cubic root of 800728 is about 92.8599271073.

The spelling of 800728 in words is "eight hundred thousand, seven hundred twenty-eight".