6788920 has 32 divisors (see below), whose sum is σ = 15454800. Its totient is φ = 2683648.

The previous prime is 6788911. The next prime is 6788939. The reversal of 6788920 is 298876.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2607 + ... + 4513.

Almost surely, 2^6788920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6788920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727400).

6788920 is an abundant number, since it is smaller than the sum of its proper divisors (8665880).

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

6788920 is a wasteful number, since it uses less digits than its factorization.

6788920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 6788920 is about 2605.5556029377. Note that the first 3 decimals coincide. The cubic root of 6788920 is about 189.3506921641.

The spelling of 6788920 in words is "six million, seven hundred eighty-eight thousand, nine hundred twenty".