6787040 has 72 divisors (see below), whose sum is σ = 17431848. Its totient is φ = 2496000.

The previous prime is 6787037. The next prime is 6787049. The reversal of 6787040 is 407876.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6786988 and 6787006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6787049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26915 + ... + 27165.

It is an arithmetic number, because the mean of its divisors is an integer number (242109).

Almost surely, 2^6787040 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 6787040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8715924).

6787040 is an abundant number, since it is smaller than the sum of its proper divisors (10644808).

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

6787040 is a wasteful number, since it uses less digits than its factorization.

6787040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 6787040 is about 2605.1948103741. The cubic root of 6787040 is about 189.3332121051. Note that the first 3 decimals are identical.

The spelling of 6787040 in words is "six million, seven hundred eighty-seven thousand, forty".