6978720 has 192 divisors, whose sum is σ = 26320896. Its totient is φ = 1520640.

The previous prime is 6978709. The next prime is 6978739. The reversal of 6978720 is 278796.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 104127 + ... + 104193.

It is an arithmetic number, because the mean of its divisors is an integer number (137088).

Almost surely, 2^6978720 is an apocalyptic number.

6978720 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 6978720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13160448).

6978720 is an abundant number, since it is smaller than the sum of its proper divisors (19342176).

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

6978720 is a wasteful number, since it uses less digits than its factorization.

6978720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 6978720 is about 2641.7267080453. The cubic root of 6978720 is about 191.0990778234.

The spelling of 6978720 in words is "six million, nine hundred seventy-eight thousand, seven hundred twenty".