6782048 has 96 divisors (see below), whose sum is σ = 17527104. Its totient is φ = 2506752.

The previous prime is 6782029. The next prime is 6782051. The reversal of 6782048 is 8402876.

It is a junction number, because it is equal to n+sod(n) for n = 6781999 and 6782017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49436 + ... + 49572.

It is an arithmetic number, because the mean of its divisors is an integer number (182574).

Almost surely, 2^6782048 is an apocalyptic number.

6782048 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6782048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8763552).

6782048 is an abundant number, since it is smaller than the sum of its proper divisors (10745056).

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

6782048 is a wasteful number, since it uses less digits than its factorization.

6782048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 6782048 is about 2604.2365483957. The cubic root of 6782048 is about 189.2867812990.

The spelling of 6782048 in words is "six million, seven hundred eighty-two thousand, forty-eight".