7979832 has 96 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 2237760.

The previous prime is 7979821. The next prime is 7979833. The reversal of 7979832 is 2389797.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7979833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35673 + ... + 35895.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^7979832 is an apocalyptic number.

7979832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7979832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

7979832 is an abundant number, since it is smaller than the sum of its proper divisors (17179848).

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

7979832 is a wasteful number, since it uses less digits than its factorization.

7979832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 7979832 is about 2824.8596425309. The cubic root of 7979832 is about 199.8317919032.

The spelling of 7979832 in words is "seven million, nine hundred seventy-nine thousand, eight hundred thirty-two".