800208864 has 288 divisors, whose sum is σ = 2949972480. Its totient is φ = 199812096.

The previous prime is 800208791. The next prime is 800208869. The reversal of 800208864 is 468802008.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800208869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497149 + ... + 498755.

It is an arithmetic number, because the mean of its divisors is an integer number (10242960).

Almost surely, 2^800208864 is an apocalyptic number.

800208864 is a gapful number since it is divisible by the number (84) 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 800208864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474986240).

800208864 is an abundant number, since it is smaller than the sum of its proper divisors (2149763616).

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

800208864 is a wasteful number, since it uses less digits than its factorization.

800208864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 800208864 is about 28287.9632352702. The cubic root of 800208864 is about 928.3985480937.

The spelling of 800208864 in words is "eight hundred million, two hundred eight thousand, eight hundred sixty-four".