900080 has 20 divisors (see below), whose sum is σ = 2092872. Its totient is φ = 360000.

The previous prime is 900061. The next prime is 900089. The reversal of 900080 is 80009.

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900089) by changing a digit.

900080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 5546 + ... + 5705.

2⁹⁰⁰⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

900080 is an abundant number, since it is smaller than the sum of its proper divisors (1192792).

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

900080 is a wasteful number, since it uses less digits than its factorization.

900080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11264 (or 11258 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 900080 is about 948.7254608157. The cubic root of 900080 is about 96.5517990851.

Adding to 900080 its reverse (80009), we get a palindrome (980089).

The spelling of 900080 in words is "nine hundred thousand, eighty".