6787200 has 192 divisors, whose sum is σ = 25801920. Its totient is φ = 1536000.

The previous prime is 6787147. The next prime is 6787211. The reversal of 6787200 is 27876.

6787200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67150 + ... + 67250.

It is an arithmetic number, because the mean of its divisors is an integer number (134385).

Almost surely, 2^6787200 is an apocalyptic number.

6787200 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 6787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12900960).

6787200 is an abundant number, since it is smaller than the sum of its proper divisors (19014720).

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

6787200 is a wasteful number, since it uses less digits than its factorization.

6787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 6787200 is about 2605.2255180694. The cubic root of 6787200 is about 189.3346998954.

The spelling of 6787200 in words is "six million, seven hundred eighty-seven thousand, two hundred".