6977480 has 64 divisors (see below), whose sum is σ = 17210880. Its totient is φ = 2534400.

The previous prime is 6977473. The next prime is 6977483. The reversal of 6977480 is 847796.

It is not an unprimeable number, because it can be changed into a prime (6977483) 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 15 ways as a sum of consecutive naturals, for example, 20915 + ... + 21245.

It is an arithmetic number, because the mean of its divisors is an integer number (268920).

Almost surely, 2^6977480 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 6977480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8605440).

6977480 is an abundant number, since it is smaller than the sum of its proper divisors (10233400).

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

6977480 is a wasteful number, since it uses less digits than its factorization.

6977480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 6977480 is about 2641.4920026379. The cubic root of 6977480 is about 191.0877587996.

The spelling of 6977480 in words is "six million, nine hundred seventy-seven thousand, four hundred eighty".