6882000 has 160 divisors (see below), whose sum is σ = 23522304. Its totient is φ = 1728000.

The previous prime is 6881999. The next prime is 6882011. The reversal of 6882000 is 2886.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 185982 + ... + 186018.

Almost surely, 2^6882000 is an apocalyptic number.

6882000 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 6882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761152).

6882000 is an abundant number, since it is smaller than the sum of its proper divisors (16640304).

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

6882000 is a wasteful number, since it uses less digits than its factorization.

6882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 6882000 is about 2623.3566284438. The cubic root of 6882000 is about 190.2121360985.

Adding to 6882000 its reverse (2886), we get a palindrome (6884886).

The spelling of 6882000 in words is "six million, eight hundred eighty-two thousand".