800622848800 has 144 divisors (see below), whose sum is σ = 1983851587872. Its totient is φ = 315479091200.

The previous prime is 800622848791. The next prime is 800622848803. The reversal of 800622848800 is 8848226008.

It is a super-2 number, since 2×800622848800² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (800622848803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14329719 + ... + 14385481.

It is an arithmetic number, because the mean of its divisors is an integer number (13776747138).

Almost surely, 2^800622848800 is an apocalyptic number.

800622848800 is a gapful number since it is divisible by the number (80) 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 800622848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991925793936).

800622848800 is an abundant number, since it is smaller than the sum of its proper divisors (1183228739072).

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

800622848800 is a wasteful number, since it uses less digits than its factorization.

800622848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56051 (or 56038 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The spelling of 800622848800 in words is "eight hundred billion, six hundred twenty-two million, eight hundred forty-eight thousand, eight hundred".