800064 has 56 divisors (see below), whose sum is σ = 2357120. Its totient is φ = 266112.

The previous prime is 800057. The next prime is 800077. The reversal of 800064 is 460008.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable 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, 1497 + ... + 1959.

2⁸⁰⁰⁰⁶⁴ 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 800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178560).

800064 is an abundant number, since it is smaller than the sum of its proper divisors (1557056).

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

800064 is a wasteful number, since it uses less digits than its factorization.

800064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 800064 is about 894.4629673720. The cubic root of 800064 is about 92.8342521203.

It can be divided in two parts, 8000 and 64, that multiplied together give a cube (512000 = 80³).

The spelling of 800064 in words is "eight hundred thousand, sixty-four".