6798000 has 160 divisors (see below), whose sum is σ = 24141312. Its totient is φ = 1632000.

The previous prime is 6797993. The next prime is 6798017. The reversal of 6798000 is 8976.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65949 + ... + 66051.

Almost surely, 2^6798000 is an apocalyptic number.

6798000 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 6798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070656).

6798000 is an abundant number, since it is smaller than the sum of its proper divisors (17343312).

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

6798000 is a wasteful number, since it uses less digits than its factorization.

6798000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 6798000 is about 2607.2974513852. The cubic root of 6798000 is about 189.4350717289.

Subtracting from 6798000 its product of nonzero digits (3024), we obtain a palindrome (6794976).

The spelling of 6798000 in words is "six million, seven hundred ninety-eight thousand".