6780720 has 80 divisors (see below), whose sum is σ = 22141440. Its totient is φ = 1711872.

The previous prime is 6780707. The next prime is 6780743. The reversal of 6780720 is 270876.

It is a tau number, because it is divible by the number of its divisors (80).

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

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 15 ways as a sum of consecutive naturals, for example, 3817 + ... + 5303.

It is an arithmetic number, because the mean of its divisors is an integer number (276768).

Almost surely, 2^6780720 is an apocalyptic number.

6780720 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 6780720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070720).

6780720 is an abundant number, since it is smaller than the sum of its proper divisors (15360720).

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

6780720 is a wasteful number, since it uses less digits than its factorization.

6780720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1516 counting only the distinct ones).

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

The square root of 6780720 is about 2603.9815667550. The cubic root of 6780720 is about 189.2744256775.

The spelling of 6780720 in words is "six million, seven hundred eighty thousand, seven hundred twenty".