801856 has 56 divisors (see below), whose sum is σ = 1865376. Its totient is φ = 337920.

The previous prime is 801841. The next prime is 801859. The reversal of 801856 is 658108.

801856 = T₁₂₀ + T₁₂₁ + ... + T₁₈₆.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (801859) by changing a digit.

801856 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 7 ways as a sum of consecutive naturals, for example, 11935 + ... + 12001.

2⁸⁰¹⁸⁵⁶ 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 801856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932688).

801856 is an abundant number, since it is smaller than the sum of its proper divisors (1063520).

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

801856 is a wasteful number, since it uses less digits than its factorization.

801856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 801856 is about 895.4641254679. The cubic root of 801856 is about 92.9035111335.

It can be divided in two parts, 80 and 1856, that added together give a square (1936 = 44²).

The spelling of 801856 in words is "eight hundred one thousand, eight hundred fifty-six".