13800765 has 16 divisors (see below), whose sum is σ = 24088896. Its totient is φ = 6691200.

The previous prime is 13800757. The next prime is 13800791. The reversal of 13800765 is 56700831.

It is not a de Polignac number, because 13800765 - 2³ = 13800757 is a prime.

It is a super-2 number, since 2×13800765² = 380922229170450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 41656 + ... + 41985.

It is an arithmetic number, because the mean of its divisors is an integer number (1505556).

Almost surely, 2^13800765 is an apocalyptic number.

13800765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13800765 is a deficient number, since it is larger than the sum of its proper divisors (10288131).

13800765 is a wasteful number, since it uses less digits than its factorization.

13800765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83660.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 13800765 is about 3714.9380883132. The cubic root of 13800765 is about 239.8654627908.

The spelling of 13800765 in words is "thirteen million, eight hundred thousand, seven hundred sixty-five".