800928 has 72 divisors (see below), whose sum is σ = 2384928. Its totient is φ = 264384.

The previous prime is 800923. The next prime is 800953. The reversal of 800928 is 829008.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×800928² = 1282971322368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (800923) by changing a digit.

800928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7725 + ... + 7827.

It is an arithmetic number, because the mean of its divisors is an integer number (33124).

2⁸⁰⁰⁹²⁸ 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 800928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192464).

800928 is an abundant number, since it is smaller than the sum of its proper divisors (1584000).

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

800928 is a wasteful number, since it uses less digits than its factorization.

800928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 800928 is about 894.9458084152. The cubic root of 800928 is about 92.8676577555.

It can be divided in two parts, 800 and 928, that added together give a cube (1728 = 12³).

The spelling of 800928 in words is "eight hundred thousand, nine hundred twenty-eight".