13757680 has 40 divisors (see below), whose sum is σ = 33381792. Its totient is φ = 5263104.

The previous prime is 13757671. The next prime is 13757683. The reversal of 13757680 is 8675731.

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

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13757683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1899 + ... + 5578.

Almost surely, 2^13757680 is an apocalyptic number.

13757680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13757680 is an abundant number, since it is smaller than the sum of its proper divisors (19624112).

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

13757680 is a wasteful number, since it uses less digits than its factorization.

13757680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513 (or 7507 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 13757680 is about 3709.1346699736. The cubic root of 13757680 is about 239.6155883143.

The spelling of 13757680 in words is "thirteen million, seven hundred fifty-seven thousand, six hundred eighty".