800420900 has 36 divisors (see below), whose sum is σ = 1738604868. Its totient is φ = 319856640.

The previous prime is 800420891. The next prime is 800420903. The reversal of 800420900 is 9024008.

It can be written as a sum of positive squares in 6 ways, for example, as 11035684 + 789385216 = 3322^2 + 28096^2 .

It is not an unprimeable number, because it can be changed into a prime (800420903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118412 + ... + 124988.

Almost surely, 2^800420900 is an apocalyptic number.

It is an amenable number.

800420900 is an abundant number, since it is smaller than the sum of its proper divisors (938183968).

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

800420900 is a wasteful number, since it uses less digits than its factorization.

800420900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7808 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 800420900 is about 28291.7108001619. The cubic root of 800420900 is about 928.4805419075.

Adding to 800420900 its reverse (9024008), we get a palindrome (809444908).

The spelling of 800420900 in words is "eight hundred million, four hundred twenty thousand, nine hundred".