12977760 has 96 divisors (see below), whose sum is σ = 43061760. Its totient is φ = 3276288.

The previous prime is 12977759. The next prime is 12977803. The reversal of 12977760 is 6777921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8409 + ... + 9831.

It is an arithmetic number, because the mean of its divisors is an integer number (448560).

Almost surely, 2^12977760 is an apocalyptic number.

12977760 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 12977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21530880).

12977760 is an abundant number, since it is smaller than the sum of its proper divisors (30084000).

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

12977760 is a wasteful number, since it uses less digits than its factorization.

12977760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 39.

The square root of 12977760 is about 3602.4658221835. The cubic root of 12977760 is about 234.9993058679. Note that the first 3 decimals are identical.

The spelling of 12977760 in words is "twelve million, nine hundred seventy-seven thousand, seven hundred sixty".