7980624 has 60 divisors (see below), whose sum is σ = 22540596. Its totient is φ = 2635776.

The previous prime is 7980617. The next prime is 7980629. The reversal of 7980624 is 4260897.

It is a Cunningham number, because it is equal to 2825²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 2782224 + 5198400 = 1668^2 + 2280^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7980629) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22432 + ... + 22784.

Almost surely, 2^7980624 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 7980624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11270298).

7980624 is an abundant number, since it is smaller than the sum of its proper divisors (14559972).

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

7980624 is a wasteful number, since it uses less digits than its factorization.

7980624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7980624 is about 2824.9998230088. Note that the first 3 decimals coincide. The cubic root of 7980624 is about 199.8384028002.

The spelling of 7980624 in words is "seven million, nine hundred eighty thousand, six hundred twenty-four".