13805800 has 24 divisors (see below), whose sum is σ = 32098950. Its totient is φ = 5522240.

The previous prime is 13805797. The next prime is 13805801. The reversal of 13805800 is 850831.

13805800 = T₃₆ + T₃₇ + ... + T₄₃₅.

13805800 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 3 ways, for example, as 8797156 + 5008644 = 2966^2 + 2238^2 .

It is a super-3 number, since 3×13805800³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13805801) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 34315 + ... + 34714.

Almost surely, 2^13805800 is an apocalyptic number.

13805800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13805800 is an abundant number, since it is smaller than the sum of its proper divisors (18293150).

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

13805800 is a wasteful number, since it uses less digits than its factorization.

13805800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69045 (or 69036 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 13805800 is about 3715.6156959513. The cubic root of 13805800 is about 239.8946296706.

The spelling of 13805800 in words is "thirteen million, eight hundred five thousand, eight hundred".