7520809920 has 224 divisors, whose sum is σ = 25947819072. Its totient is φ = 1834549248.

The previous prime is 7520809909. The next prime is 7520809927. The reversal of 7520809920 is 299080257.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7520809927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1407574 + ... + 1412906.

It is an arithmetic number, because the mean of its divisors is an integer number (115838478).

Almost surely, 2^7520809920 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 7520809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12973909536).

7520809920 is an abundant number, since it is smaller than the sum of its proper divisors (18427009152).

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

7520809920 is a wasteful number, since it uses less digits than its factorization.

7520809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 7520809920 is about 86722.6032819587. The cubic root of 7520809920 is about 1959.2425505783.

The spelling of 7520809920 in words is "seven billion, five hundred twenty million, eight hundred nine thousand, nine hundred twenty".