6786080 has 96 divisors (see below), whose sum is σ = 18797184. Its totient is φ = 2267136.

The previous prime is 6786061. The next prime is 6786083. The reversal of 6786080 is 806876.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 6786080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6786083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81719 + ... + 81801.

It is an arithmetic number, because the mean of its divisors is an integer number (195804).

Almost surely, 2^6786080 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 6786080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9398592).

6786080 is an abundant number, since it is smaller than the sum of its proper divisors (12011104).

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

6786080 is a wasteful number, since it uses less digits than its factorization.

6786080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 6786080 is about 2605.0105566005. The cubic root of 6786080 is about 189.3242848725.

The spelling of 6786080 in words is "six million, seven hundred eighty-six thousand, eighty".