6972880 has 40 divisors (see below), whose sum is σ = 16597152. Its totient is φ = 2722944.

The previous prime is 6972877. The next prime is 6972893. The reversal of 6972880 is 882796.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 2427 + ... + 4453.

Almost surely, 2^6972880 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 6972880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298576).

6972880 is an abundant number, since it is smaller than the sum of its proper divisors (9624272).

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

6972880 is a wasteful number, since it uses less digits than its factorization.

6972880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 6972880 is about 2640.6211390504. The cubic root of 6972880 is about 191.0457571540.

The spelling of 6972880 in words is "six million, nine hundred seventy-two thousand, eight hundred eighty".