7980240 has 80 divisors (see below), whose sum is σ = 25373376. Its totient is φ = 2073600.

The previous prime is 7980239. The next prime is 7980251. The reversal of 7980240 is 420897.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7980198 and 7980207.

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 15 ways as a sum of consecutive naturals, for example, 9435 + ... + 10245.

Almost surely, 2^7980240 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 7980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12686688).

7980240 is an abundant number, since it is smaller than the sum of its proper divisors (17393136).

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

7980240 is a wasteful number, since it uses less digits than its factorization.

7980240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7980240 is about 2824.9318575852. The cubic root of 7980240 is about 199.8351975714.

The spelling of 7980240 in words is "seven million, nine hundred eighty thousand, two hundred forty".