800628 has 24 divisors (see below), whose sum is σ = 1885632. Its totient is φ = 264384.

The previous prime is 800623. The next prime is 800647. The reversal of 800628 is 826008.

It is a junction number, because it is equal to n+sod(n) for n = 800598 and 800607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800621) 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 7 ways as a sum of consecutive naturals, for example, 1401 + ... + 1887.

It is an arithmetic number, because the mean of its divisors is an integer number (78568).

2⁸⁰⁰⁶²⁸ is an apocalyptic number.

It is an amenable number.

800628 is an abundant number, since it is smaller than the sum of its proper divisors (1085004).

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

800628 is a wasteful number, since it uses less digits than its factorization.

800628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 800628 is about 894.7781848034. The cubic root of 800628 is about 92.8560613004.

The spelling of 800628 in words is "eight hundred thousand, six hundred twenty-eight".