800080512 has 128 divisors (see below), whose sum is σ = 2649715200. Its totient is φ = 207805440.

The previous prime is 800080499. The next prime is 800080529. The reversal of 800080512 is 215080008.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×800080512³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16039 + ... + 43097.

It is an arithmetic number, because the mean of its divisors is an integer number (20700900).

Almost surely, 2^800080512 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 800080512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324857600).

800080512 is an abundant number, since it is smaller than the sum of its proper divisors (1849634688).

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

800080512 is a wasteful number, since it uses less digits than its factorization.

800080512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27094 (or 27082 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 800080512 is about 28285.6944761835. The cubic root of 800080512 is about 928.3489076446.

The spelling of 800080512 in words is "eight hundred million, eighty thousand, five hundred twelve".