6797760 has 112 divisors (see below), whose sum is σ = 22104096. Its totient is φ = 1769472.

The previous prime is 6797743. The next prime is 6797767. The reversal of 6797760 is 677976.

6797760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6797767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70032 + ... + 70128.

It is an arithmetic number, because the mean of its divisors is an integer number (197358).

Almost surely, 2^6797760 is an apocalyptic number.

6797760 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 6797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11052048).

6797760 is an abundant number, since it is smaller than the sum of its proper divisors (15306336).

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

6797760 is a wasteful number, since it uses less digits than its factorization.

6797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The square root of 6797760 is about 2607.2514263109. The cubic root of 6797760 is about 189.4328423991.

It can be divided in two parts, 6797 and 760, that added together give a palindrome (7557).

The spelling of 6797760 in words is "six million, seven hundred ninety-seven thousand, seven hundred sixty".