6780816 has 135 divisors (see below), whose sum is σ = 22810203. Its totient is φ = 1874880.

The previous prime is 6780769. The next prime is 6780817. The reversal of 6780816 is 6180876.

The square root of 6780816 is 2604.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6780817) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 218721 + ... + 218751.

Almost surely, 2^6780816 is an apocalyptic number.

6780816 is the 2604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6780816

6780816 is an abundant number, since it is smaller than the sum of its proper divisors (16029387).

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

6780816 is a wasteful number, since it uses less digits than its factorization.

6780816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 43 counting only the distinct ones).

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

The cubic root of 6780816 is about 189.2753189090.

Multiplying 6780816 by its sum of digits (36), we get a square (244109376 = 15624²).

6780816 divided by its sum of digits (36) gives a square (188356 = 434²).

The spelling of 6780816 in words is "six million, seven hundred eighty thousand, eight hundred sixteen".