13077376 has 64 divisors (see below), whose sum is σ = 29131200. Its totient is φ = 5806080.

The previous prime is 13077373. The next prime is 13077413. The reversal of 13077376 is 67377031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13077373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48121 + ... + 48391.

It is an arithmetic number, because the mean of its divisors is an integer number (455175).

Almost surely, 2^13077376 is an apocalyptic number.

13077376 is a gapful number since it is divisible by the number (16) 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 13077376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565600).

13077376 is an abundant number, since it is smaller than the sum of its proper divisors (16053824).

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

13077376 is a wasteful number, since it uses less digits than its factorization.

13077376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 34.

The square root of 13077376 is about 3616.2654769804. The cubic root of 13077376 is about 235.5990510770.

The spelling of 13077376 in words is "thirteen million, seventy-seven thousand, three hundred seventy-six".