6788240 has 40 divisors (see below), whose sum is σ = 16090488. Its totient is φ = 2662400.

The previous prime is 6788237. The next prime is 6788251. The reversal of 6788240 is 428876.

6788240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3519376 + 3268864 = 1876^2 + 1808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×6788240³ (a number of 21 digits) contains 333 as substring.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 6788240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3440 + ... + 5040.

Almost surely, 2^6788240 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 6788240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045244).

6788240 is an abundant number, since it is smaller than the sum of its proper divisors (9302248).

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

6788240 is a wasteful number, since it uses less digits than its factorization.

6788240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1661 counting only the distinct ones).

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

The square root of 6788240 is about 2605.4251092672. The cubic root of 6788240 is about 189.3443699621.

The spelling of 6788240 in words is "six million, seven hundred eighty-eight thousand, two hundred forty".