6788760 has 128 divisors (see below), whose sum is σ = 22982400. Its totient is φ = 1589760.

The previous prime is 6788759. The next prime is 6788773. The reversal of 6788760 is 678876.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48771 + ... + 48909.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 2^6788760 is an apocalyptic number.

6788760 is a gapful number since it is divisible by the number (60) 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 6788760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491200).

6788760 is an abundant number, since it is smaller than the sum of its proper divisors (16193640).

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

6788760 is a wasteful number, since it uses less digits than its factorization.

6788760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 6788760 is about 2605.5248991326. The cubic root of 6788760 is about 189.3492046251.

The spelling of 6788760 in words is "six million, seven hundred eighty-eight thousand, seven hundred sixty".