7997724 has 96 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 2237760.

The previous prime is 7997719. The next prime is 7997729. The reversal of 7997724 is 4277997.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7997719) and next prime (7997729).

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

It is a self number, because there is not a number n which added to its sum of digits gives 7997724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7997729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53602 + ... + 53750.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 2^7997724 is an apocalyptic number.

7997724 is the 1512-nd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7997724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

7997724 is an abundant number, since it is smaller than the sum of its proper divisors (16194276).

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

7997724 is a wasteful number, since it uses less digits than its factorization.

7997724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 7997724 is about 2828.0247523669. The cubic root of 7997724 is about 199.9810315344.

The spelling of 7997724 in words is "seven million, nine hundred ninety-seven thousand, seven hundred twenty-four".