6789900 has 72 divisors (see below), whose sum is σ = 21168784. Its totient is φ = 1670400.

The previous prime is 6789793. The next prime is 6789901. The reversal of 6789900 is 99876.

6789900 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6789900² = 92205484020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6789901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3030 + ... + 4770.

Almost surely, 2^6789900 is an apocalyptic number.

6789900 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 6789900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584392).

6789900 is an abundant number, since it is smaller than the sum of its proper divisors (14378884).

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

6789900 is a wasteful number, since it uses less digits than its factorization.

6789900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 6789900 is about 2605.7436558495. The cubic root of 6789900 is about 189.3598028302.

The spelling of 6789900 in words is "six million, seven hundred eighty-nine thousand, nine hundred".