7989709920 has 96 divisors (see below), whose sum is σ = 25278801408. Its totient is φ = 2121174528.

The previous prime is 7989709877. The next prime is 7989709921. The reversal of 7989709920 is 299079897.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7989709921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72297 + ... + 145623.

It is an arithmetic number, because the mean of its divisors is an integer number (263320848).

Almost surely, 2^7989709920 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 7989709920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12639400704).

7989709920 is an abundant number, since it is smaller than the sum of its proper divisors (17289091488).

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

7989709920 is a wasteful number, since it uses less digits than its factorization.

7989709920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73572 (or 73564 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 60.

The square root of 7989709920 is about 89385.1772946723. The cubic root of 7989709920 is about 1999.1421254115.

The spelling of 7989709920 in words is "seven billion, nine hundred eighty-nine million, seven hundred nine thousand, nine hundred twenty".