6782976 has 96 divisors (see below), whose sum is σ = 20446920. Its totient is φ = 2162688.

The previous prime is 6782969. The next prime is 6782977. The reversal of 6782976 is 6792876.

It is a happy number.

6782976 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (254016) is a multiple of the sum of its prime divisors (28).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6782977) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294901 + ... + 294923.

Almost surely, 2^6782976 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 6782976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223460).

6782976 is an abundant number, since it is smaller than the sum of its proper divisors (13663944).

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

6782976 is an equidigital number, since it uses as much as digits as its factorization.

6782976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 28 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 6782976 is about 2604.4147135201. The cubic root of 6782976 is about 189.2954143904.

The spelling of 6782976 in words is "six million, seven hundred eighty-two thousand, nine hundred seventy-six".