800400040 has 64 divisors (see below), whose sum is σ = 1992366720. Its totient is φ = 286944000.

The previous prime is 800399993. The next prime is 800400043. The reversal of 800400040 is 40004008.

800400040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 800399987 and 800400023.

It is not an unprimeable number, because it can be changed into a prime (800400043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18430 + ... + 44050.

It is an arithmetic number, because the mean of its divisors is an integer number (31130730).

Almost surely, 2^800400040 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 800400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996183360).

800400040 is an abundant number, since it is smaller than the sum of its proper divisors (1191966680).

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

800400040 is a wasteful number, since it uses less digits than its factorization.

800400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25714 (or 25710 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 800400040 is about 28291.3421385413. The cubic root of 800400040 is about 928.4724760377.

Adding to 800400040 its reverse (40004008), we get a palindrome (840404048).

The spelling of 800400040 in words is "eight hundred million, four hundred thousand, forty".