13776804 has 60 divisors (see below), whose sum is σ = 36458268. Its totient is φ = 4536000.

The previous prime is 13776799. The next prime is 13776809. The reversal of 13776804 is 40867731.

13776804 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13776799) and next prime (13776809).

It can be written as a sum of positive squares in 2 ways, for example, as 5992704 + 7784100 = 2448^2 + 2790^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13776809) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32514 + ... + 32934.

Almost surely, 2^13776804 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 13776804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229134).

13776804 is an abundant number, since it is smaller than the sum of its proper divisors (22681464).

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

13776804 is a wasteful number, since it uses less digits than its factorization.

13776804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 13776804 is about 3711.7117344966. The cubic root of 13776804 is about 239.7265635872.

The spelling of 13776804 in words is "thirteen million, seven hundred seventy-six thousand, eight hundred four".