6780960 has 144 divisors (see below), whose sum is σ = 24589656. Its totient is φ = 1695744.

The previous prime is 6780959. The next prime is 6780973. The reversal of 6780960 is 690876.

It can be written as a sum of positive squares in 4 ways, for example, as 5253264 + 1527696 = 2292^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24342 + ... + 24618.

Almost surely, 2^6780960 is an apocalyptic number.

6780960 is a gapful number since it is divisible by the number (60) 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 6780960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294828).

6780960 is an abundant number, since it is smaller than the sum of its proper divisors (17808696).

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

6780960 is a wasteful number, since it uses less digits than its factorization.

6780960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6780960 is about 2604.0276496228. The cubic root of 6780960 is about 189.2766587405.

The spelling of 6780960 in words is "six million, seven hundred eighty thousand, nine hundred sixty".