10800080 has 40 divisors (see below), whose sum is σ = 25331712. Its totient is φ = 4281984.

The previous prime is 10800073. The next prime is 10800091. The reversal of 10800080 is 8000801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9629 + ... + 10691.

Almost surely, 2^10800080 is an apocalyptic number.

10800080 is a gapful number since it is divisible by the number (10) 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 10800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12665856).

10800080 is an abundant number, since it is smaller than the sum of its proper divisors (14531632).

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

10800080 is a wasteful number, since it uses less digits than its factorization.

10800080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 10800080 is about 3286.3475166208. The cubic root of 10800080 is about 221.0424356995.

Adding to 10800080 its reverse (8000801), we get a palindrome (18800881).

The spelling of 10800080 in words is "ten million, eight hundred thousand, eighty".