7979040 has 96 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 2126592.

The previous prime is 7979021. The next prime is 7979057. The reversal of 7979040 is 409797.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 7978986 and 7979004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3397 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 2^7979040 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 7979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

7979040 is an abundant number, since it is smaller than the sum of its proper divisors (19962720).

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

7979040 is a wasteful number, since it uses less digits than its factorization.

7979040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 7979040 is about 2824.7194550964. The cubic root of 7979040 is about 199.8251805687.

The spelling of 7979040 in words is "seven million, nine hundred seventy-nine thousand, forty".