7839960 has 64 divisors (see below), whose sum is σ = 23846400. Its totient is φ = 2061696.

The previous prime is 7839959. The next prime is 7839961. The reversal of 7839960 is 699387.

It is a happy number.

7839960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7839959) and next prime (7839961).

It is a super-2 number, since 2×7839960² = 122929945603200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7839961) 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, 9067 + ... + 9893.

It is an arithmetic number, because the mean of its divisors is an integer number (372600).

Almost surely, 2^7839960 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 7839960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11923200).

7839960 is an abundant number, since it is smaller than the sum of its proper divisors (16006440).

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

7839960 is a wasteful number, since it uses less digits than its factorization.

7839960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 7839960 is about 2799.9928571337. The cubic root of 7839960 is about 198.6573398221.

The spelling of 7839960 in words is "seven million, eight hundred thirty-nine thousand, nine hundred sixty".