800065152 has 96 divisors (see below), whose sum is σ = 2437758180. Its totient is φ = 250994688.

The previous prime is 800065141. The next prime is 800065159. The reversal of 800065152 is 251560008.

800065152 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 651 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 612265536 + 187799616 = 24744^2 + 13704^2 .

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

It is not an unprimeable number, because it can be changed into a prime (800065159) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 843 + ... + 40010.

Almost surely, 2^800065152 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 800065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218879090).

800065152 is an abundant number, since it is smaller than the sum of its proper divisors (1637693028).

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

800065152 is a wasteful number, since it uses less digits than its factorization.

800065152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40890 (or 40875 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 800065152 is about 28285.4229595387. The cubic root of 800065152 is about 928.3429667714.

It can be divided in two parts, 80006 and 5152, that added together give a palindrome (85158).

The spelling of 800065152 in words is "eight hundred million, sixty-five thousand, one hundred fifty-two".