13780312 has 64 divisors (see below), whose sum is σ = 33223680. Its totient is φ = 5208192.

The previous prime is 13780303. The next prime is 13780313. The reversal of 13780312 is 21308731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13780313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16333 + ... + 17155.

It is an arithmetic number, because the mean of its divisors is an integer number (519120).

Almost surely, 2^13780312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13780312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16611840).

13780312 is an abundant number, since it is smaller than the sum of its proper divisors (19443368).

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

13780312 is a wasteful number, since it uses less digits than its factorization.

13780312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 13780312 is about 3712.1842626680. The cubic root of 13780312 is about 239.7469091239.

The spelling of 13780312 in words is "thirteen million, seven hundred eighty thousand, three hundred twelve".