800964 has 36 divisors (see below), whose sum is σ = 2133040. Its totient is φ = 252720.

The previous prime is 800959. The next prime is 800971. The reversal of 800964 is 469008.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×800964³ = 1541559333618724032, which contains 333 as substring.

It is an Ulam number.

It is an unprimeable number.

800964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99 + ... + 1269.

2⁸⁰⁰⁹⁶⁴ 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 800964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066520).

800964 is an abundant number, since it is smaller than the sum of its proper divisors (1332076).

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

800964 is a wasteful number, since it uses less digits than its factorization.

800964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 800964 is about 894.9659211389. The cubic root of 800964 is about 92.8690491355.

Subtracting from 800964 its product of nonzero digits (1728), we obtain a square (799236 = 894²).

It can be divided in two parts, 800 and 964, that added together give a square (1764 = 42²).

The spelling of 800964 in words is "eight hundred thousand, nine hundred sixty-four".