6786400 has 72 divisors (see below), whose sum is σ = 17577000. Its totient is φ = 2549760.

The previous prime is 6786391. The next prime is 6786407. The reversal of 6786400 is 46876.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6786407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13351 + ... + 13849.

It is an arithmetic number, because the mean of its divisors is an integer number (244125).

Almost surely, 2^6786400 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 6786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8788500).

6786400 is an abundant number, since it is smaller than the sum of its proper divisors (10790600).

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

6786400 is a wasteful number, since it uses less digits than its factorization.

6786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 6786400 is about 2605.0719759730. The cubic root of 6786400 is about 189.3272607103.

The spelling of 6786400 in words is "six million, seven hundred eighty-six thousand, four hundred".