6778240 has 128 divisors (see below), whose sum is σ = 19828800. Its totient is φ = 2162688.

The previous prime is 6778237. The next prime is 6778241. The reversal of 6778240 is 428776.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 6778196 and 6778205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6778241) 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 15 ways as a sum of consecutive naturals, for example, 76116 + ... + 76204.

Almost surely, 2^6778240 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 6778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9914400).

6778240 is an abundant number, since it is smaller than the sum of its proper divisors (13050560).

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

6778240 is a wasteful number, since it uses less digits than its factorization.

6778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 6778240 is about 2603.5053293589. The cubic root of 6778240 is about 189.2513476064.

The spelling of 6778240 in words is "six million, seven hundred seventy-eight thousand, two hundred forty".