6782480 has 40 divisors (see below), whose sum is σ = 15903000. Its totient is φ = 2690048.

The previous prime is 6782443. The next prime is 6782509. The reversal of 6782480 is 842876.

It can be written as a sum of positive squares in 4 ways, for example, as 43264 + 6739216 = 208^2 + 2596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 6782480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11636 + ... + 12204.

It is an arithmetic number, because the mean of its divisors is an integer number (397575).

Almost surely, 2^6782480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6782480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7951500).

6782480 is an abundant number, since it is smaller than the sum of its proper divisors (9120520).

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

6782480 is a wasteful number, since it uses less digits than its factorization.

6782480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 6782480 is about 2604.3194888492. The cubic root of 6782480 is about 189.2908002499.

The spelling of 6782480 in words is "six million, seven hundred eighty-two thousand, four hundred eighty".