6788100 has 144 divisors (see below), whose sum is σ = 22873536. Its totient is φ = 1548800.

The previous prime is 6788099. The next prime is 6788107. The reversal of 6788100 is 18876.

It is a super-2 number, since 2×6788100² = 92156603220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6788107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399292 + ... + 399308.

It is an arithmetic number, because the mean of its divisors is an integer number (158844).

Almost surely, 2^6788100 is an apocalyptic number.

6788100 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 6788100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11436768).

6788100 is an abundant number, since it is smaller than the sum of its proper divisors (16085436).

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

6788100 is a wasteful number, since it uses less digits than its factorization.

6788100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 6788100 is about 2605.3982421119. The cubic root of 6788100 is about 189.3430682799.

It can be divided in two parts, 678 and 8100, that added together give a palindrome (8778).

The spelling of 6788100 in words is "six million, seven hundred eighty-eight thousand, one hundred".