7659920 has 60 divisors (see below), whose sum is σ = 18720156. Its totient is φ = 2914560.

The previous prime is 7659917. The next prime is 7659923. The reversal of 7659920 is 299567.

It is an interprime number because it is at equal distance from previous prime (7659917) and next prime (7659923).

It can be written as a sum of positive squares in 2 ways, for example, as 1024144 + 6635776 = 1012^2 + 2576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7659923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42230 + ... + 42410.

Almost surely, 2^7659920 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 7659920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9360078).

7659920 is an abundant number, since it is smaller than the sum of its proper divisors (11060236).

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

7659920 is a wasteful number, since it uses less digits than its factorization.

7659920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 7659920 is about 2767.6560479944. The cubic root of 7659920 is about 197.1248660831.

The spelling of 7659920 in words is "seven million, six hundred fifty-nine thousand, nine hundred twenty".