800106656 has 48 divisors (see below), whose sum is σ = 1611568224. Its totient is φ = 390883584.

The previous prime is 800106653. The next prime is 800106661. The reversal of 800106656 is 656601008.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (800106653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479135 + ... + 480801.

It is an arithmetic number, because the mean of its divisors is an integer number (33574338).

Almost surely, 2^800106656 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 800106656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805784112).

800106656 is an abundant number, since it is smaller than the sum of its proper divisors (811461568).

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

800106656 is a wasteful number, since it uses less digits than its factorization.

800106656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 800106656 is about 28286.1566141461. The cubic root of 800106656 is about 928.3590193309.

The spelling of 800106656 in words is "eight hundred million, one hundred six thousand, six hundred fifty-six".