6782400 has 168 divisors, whose sum is σ = 24881840. Its totient is φ = 1797120.

The previous prime is 6782381. The next prime is 6782431. The reversal of 6782400 is 42876.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

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 23 ways as a sum of consecutive naturals, for example, 43122 + ... + 43278.

Almost surely, 2^6782400 is an apocalyptic number.

6782400 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 6782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12440920).

6782400 is an abundant number, since it is smaller than the sum of its proper divisors (18099440).

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

6782400 is a wasteful number, since it uses less digits than its factorization.

6782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6782400 is about 2604.3041297053. The cubic root of 6782400 is about 189.2900560126.

The spelling of 6782400 in words is "six million, seven hundred eighty-two thousand, four hundred".