800142880032 has 72 divisors (see below), whose sum is σ = 2278787857164. Its totient is φ = 266317922304.

The previous prime is 800142880013. The next prime is 800142880037. The reversal of 800142880032 is 230088241008.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 777437212176 + 22705667856 = 881724^2 + 150684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (800142880037) 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 11 ways as a sum of consecutive naturals, for example, 1870273 + ... + 2257920.

Almost surely, 2^800142880032 is an apocalyptic number.

It is an amenable number.

800142880032 is an abundant number, since it is smaller than the sum of its proper divisors (1478644977132).

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

800142880032 is a wasteful number, since it uses less digits than its factorization.

800142880032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128882 (or 4128871 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 800142880032 in words is "eight hundred billion, one hundred forty-two million, eight hundred eighty thousand, thirty-two".