13790880 has 144 divisors (see below), whose sum is σ = 48137544. Its totient is φ = 3594240.

The previous prime is 13790879. The next prime is 13790911. The reversal of 13790880 is 8809731.

It can be written as a sum of positive squares in 4 ways, for example, as 5702544 + 8088336 = 2388^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 87762 + ... + 87918.

Almost surely, 2^13790880 is an apocalyptic number.

13790880 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 13790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24068772).

13790880 is an abundant number, since it is smaller than the sum of its proper divisors (34346664).

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

13790880 is a wasteful number, since it uses less digits than its factorization.

13790880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 13790880 is about 3713.6074105915. The cubic root of 13790880 is about 239.8081800621.

It can be divided in two parts, 1 and 3790880, that added together give a triangular number (3790881 = T₂₇₅₃).

The spelling of 13790880 in words is "thirteen million, seven hundred ninety thousand, eight hundred eighty".