13780580 has 24 divisors (see below), whose sum is σ = 31570560. Its totient is φ = 5011040.

The previous prime is 13780579. The next prime is 13780607. The reversal of 13780580 is 8508731.

It is a super-3 number, since 3×13780580³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31100 + ... + 31539.

It is an arithmetic number, because the mean of its divisors is an integer number (1315440).

Almost surely, 2^13780580 is an apocalyptic number.

13780580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13780580 is an abundant number, since it is smaller than the sum of its proper divisors (17789980).

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

13780580 is a wasteful number, since it uses less digits than its factorization.

13780580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62659 (or 62657 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 13780580 is about 3712.2203598386. The cubic root of 13780580 is about 239.7484633160.

The spelling of 13780580 in words is "thirteen million, seven hundred eighty thousand, five hundred eighty".