6781000 has 32 divisors (see below), whose sum is σ = 15869880. Its totient is φ = 2712000.

The previous prime is 6780989. The next prime is 6781007. The reversal of 6781000 is 1876.

It can be written as a sum of positive squares in 4 ways, for example, as 1790244 + 4990756 = 1338^2 + 2234^2 .

It is a super-2 number, since 2×6781000² = 91963922000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6781007) 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 7 ways as a sum of consecutive naturals, for example, 2391 + ... + 4390.

Almost surely, 2^6781000 is an apocalyptic number.

It is an amenable number.

6781000 is an abundant number, since it is smaller than the sum of its proper divisors (9088880).

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

6781000 is a wasteful number, since it uses less digits than its factorization.

6781000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 6781000 is about 2604.0353300215. The cubic root of 6781000 is about 189.2770309126.

Adding to 6781000 its reverse (1876), we get a palindrome (6782876).

The spelling of 6781000 in words is "six million, seven hundred eighty-one thousand".