6782080 has 32 divisors (see below), whose sum is σ = 16214940. Its totient is φ = 2712576.

The previous prime is 6782077. The next prime is 6782081. The reversal of 6782080 is 802876.

6782080 = T₉₀ + T₉₁ + ... + T₃₄₅.

It can be written as a sum of positive squares in 2 ways, for example, as 5875776 + 906304 = 2424^2 + 952^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (6782081) 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 3 ways as a sum of consecutive naturals, for example, 4659 + ... + 5938.

Almost surely, 2^6782080 is an apocalyptic number.

It is an amenable number.

6782080 is an abundant number, since it is smaller than the sum of its proper divisors (9432860).

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

6782080 is a wasteful number, since it uses less digits than its factorization.

6782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10616 (or 10604 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 6782080 is about 2604.2426922236. The cubic root of 6782080 is about 189.2870790049.

The spelling of 6782080 in words is "six million, seven hundred eighty-two thousand, eighty".