12779040 has 96 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 3354624.

The previous prime is 12779029. The next prime is 12779047. The reversal of 12779040 is 4097721.

12779040 is a nontrivial binomial coefficient, being equal to C(5056, 2).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12778989 and 12779007.

It is not an unprimeable number, because it can be changed into a prime (12779047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37752 + ... + 38088.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 2^12779040 is an apocalyptic number.

12779040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12779040 is the 5055-th triangular number and also the 2528-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

12779040 is an abundant number, since it is smaller than the sum of its proper divisors (28105440).

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

12779040 is a wasteful number, since it uses less digits than its factorization.

12779040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 12779040 is about 3574.7783148050. The cubic root of 12779040 is about 233.7936671925.

The spelling of 12779040 in words is "twelve million, seven hundred seventy-nine thousand, forty".