7679940 has 48 divisors (see below), whose sum is σ = 22202880. Its totient is φ = 1981440.

The previous prime is 7679927. The next prime is 7679951. The reversal of 7679940 is 499767.

It is a junction number, because it is equal to n+sod(n) for n = 7679892 and 7679901.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 205 + ... + 3924.

It is an arithmetic number, because the mean of its divisors is an integer number (462560).

Almost surely, 2^7679940 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 7679940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11101440).

7679940 is an abundant number, since it is smaller than the sum of its proper divisors (14522940).

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

7679940 is a wasteful number, since it uses less digits than its factorization.

7679940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 7679940 is about 2771.2704667715. The cubic root of 7679940 is about 197.2964521509.

The spelling of 7679940 in words is "seven million, six hundred seventy-nine thousand, nine hundred forty".