6976080 has 60 divisors (see below), whose sum is σ = 23430420. Its totient is φ = 1860096.

The previous prime is 6976051. The next prime is 6976093. The reversal of 6976080 is 806796.

It can be written as a sum of positive squares in 2 ways, for example, as 3196944 + 3779136 = 1788^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4125 + ... + 5564.

It is an arithmetic number, because the mean of its divisors is an integer number (390507).

Almost surely, 2^6976080 is an apocalyptic number.

6976080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6976080 is an abundant number, since it is smaller than the sum of its proper divisors (16454340).

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

6976080 is a wasteful number, since it uses less digits than its factorization.

6976080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9708 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6976080 is about 2641.2269875950. The cubic root of 6976080 is about 191.0749776448.

The spelling of 6976080 in words is "six million, nine hundred seventy-six thousand, eighty".