6797600 has 72 divisors (see below), whose sum is σ = 17225460. Its totient is φ = 2616320.

The previous prime is 6797591. The next prime is 6797639. The reversal of 6797600 is 67976.

It can be written as a sum of positive squares in 6 ways, for example, as 4376464 + 2421136 = 2092^2 + 1556^2 .

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 11 ways as a sum of consecutive naturals, for example, 23054 + ... + 23346.

Almost surely, 2^6797600 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 6797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8612730).

6797600 is an abundant number, since it is smaller than the sum of its proper divisors (10427860).

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

6797600 is a wasteful number, since it uses less digits than its factorization.

6797600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 6797600 is about 2607.2207424766. The cubic root of 6797600 is about 189.4313561501.

Multiplying 6797600 by its reverse (67976), we get a square (462073657600 = 679760²).

6797600 divided by its reverse (67976) gives a square (100 = 10²).

The spelling of 6797600 in words is "six million, seven hundred ninety-seven thousand, six hundred".