800908512 has 96 divisors (see below), whose sum is σ = 2168312832. Its totient is φ = 258660864.

The previous prime is 800908499. The next prime is 800908519. The reversal of 800908512 is 215809008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800908519) 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 15 ways as a sum of consecutive naturals, for example, 1644333 + ... + 1644819.

It is an arithmetic number, because the mean of its divisors is an integer number (22586592).

Almost surely, 2^800908512 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 800908512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084156416).

800908512 is an abundant number, since it is smaller than the sum of its proper divisors (1367404320).

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

800908512 is a wasteful number, since it uses less digits than its factorization.

800908512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 800908512 is about 28300.3270652479. The cubic root of 800908512 is about 928.6690453769.

The spelling of 800908512 in words is "eight hundred million, nine hundred eight thousand, five hundred twelve".