7980672 has 64 divisors (see below), whose sum is σ = 24235200. Its totient is φ = 2279424.

The previous prime is 7980629. The next prime is 7980673. The reversal of 7980672 is 2760897.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7980672² = 127382251143168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7980672.

It is not an unprimeable number, because it can be changed into a prime (7980673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1204 + ... + 4172.

It is an arithmetic number, because the mean of its divisors is an integer number (378675).

Almost surely, 2^7980672 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 7980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12117600).

7980672 is an abundant number, since it is smaller than the sum of its proper divisors (16254528).

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

7980672 is a wasteful number, since it uses less digits than its factorization.

7980672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2981 counting only the distinct ones).

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

The square root of 7980672 is about 2825.0083185718. The cubic root of 7980672 is about 199.8388034466.

The spelling of 7980672 in words is "seven million, nine hundred eighty thousand, six hundred seventy-two".