12377680 has 120 divisors (see below), whose sum is σ = 35462016. Its totient is φ = 3928320.

The previous prime is 12377663. The next prime is 12377699. The reversal of 12377680 is 8677321.

12377680 = 290² + 291² + ... + 394².

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 399265 + ... + 399295.

Almost surely, 2^12377680 is an apocalyptic number.

12377680 is a gapful number since it is divisible by the number (10) 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 12377680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17731008).

12377680 is an abundant number, since it is smaller than the sum of its proper divisors (23084336).

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

12377680 is a wasteful number, since it uses less digits than its factorization.

12377680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 12377680 is about 3518.1927178596. The cubic root of 12377680 is about 231.3199467007.

The spelling of 12377680 in words is "twelve million, three hundred seventy-seven thousand, six hundred eighty".