6786180 has 120 divisors (see below), whose sum is σ = 21954240. Its totient is φ = 1753920.

The previous prime is 6786149. The next prime is 6786181. The reversal of 6786180 is 816876.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6786181) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95545 + ... + 95615.

It is an arithmetic number, because the mean of its divisors is an integer number (182952).

Almost surely, 2^6786180 is an apocalyptic number.

6786180 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 6786180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977120).

6786180 is an abundant number, since it is smaller than the sum of its proper divisors (15168060).

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

6786180 is a wasteful number, since it uses less digits than its factorization.

6786180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 6786180 is about 2605.0297503100. The cubic root of 6786180 is about 189.3252148319.

The spelling of 6786180 in words is "six million, seven hundred eighty-six thousand, one hundred eighty".