800064000 has 320 divisors, whose sum is σ = 2961953280. Its totient is φ = 212889600.

The previous prime is 800063963. The next prime is 800064049. The reversal of 800064000 is 460008.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727769 + ... + 1728231.

It is an arithmetic number, because the mean of its divisors is an integer number (9256104).

Almost surely, 2^800064000 is an apocalyptic number.

800064000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480976640).

800064000 is an abundant number, since it is smaller than the sum of its proper divisors (2161889280).

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

800064000 is an equidigital number, since it uses as much as digits as its factorization.

800064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 473 counting only the distinct ones).

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

The square root of 800064000 is about 28285.4025956853. The cubic root of 800064000 is about 928.3425212029.

It can be divided in two parts, 8000 and 64000, that multiplied together give a cube (512000000 = 800³).

The spelling of 800064000 in words is "eight hundred million, sixty-four thousand".