7947792 has 60 divisors (see below), whose sum is σ = 22511580. Its totient is φ = 2617344.

The previous prime is 7947767. The next prime is 7947799. The reversal of 7947792 is 2977497.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2359296 + 5588496 = 1536^2 + 2364^2 .

It is not an unprimeable number, because it can be changed into a prime (7947799) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13684 + ... + 14252.

It is an arithmetic number, because the mean of its divisors is an integer number (375193).

Almost surely, 2^7947792 is an apocalyptic number.

7947792 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 7947792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11255790).

7947792 is an abundant number, since it is smaller than the sum of its proper divisors (14563788).

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

7947792 is a wasteful number, since it uses less digits than its factorization.

7947792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 671 counting only the distinct ones).

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

The square root of 7947792 is about 2819.1828603338. The cubic root of 7947792 is about 199.5639834720.

The spelling of 7947792 in words is "seven million, nine hundred forty-seven thousand, seven hundred ninety-two".