6795600 has 120 divisors (see below), whose sum is σ = 24909120. Its totient is φ = 1551360.

The previous prime is 6795587. The next prime is 6795617. The reversal of 6795600 is 65976.

It is a tau number, because it is divible by the number of its divisors (120).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7996 + ... + 8804.

It is an arithmetic number, because the mean of its divisors is an integer number (207576).

Almost surely, 2^6795600 is an apocalyptic number.

6795600 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 6795600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454560).

6795600 is an abundant number, since it is smaller than the sum of its proper divisors (18113520).

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

6795600 is a wasteful number, since it uses less digits than its factorization.

6795600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 6795600 is about 2606.8371640745. The cubic root of 6795600 is about 189.4127760691.

The spelling of 6795600 in words is "six million, seven hundred ninety-five thousand, six hundred".