7712328 has 64 divisors (see below), whose sum is σ = 21873600. Its totient is φ = 2246400.

The previous prime is 7712323. The next prime is 7712359. The reversal of 7712328 is 8232177.

It is an Ulam number.

It is a d-powerful number, because it can be written as 7³ + 7⁷ + 1 + 2⁷ + 3¹⁴ + 2¹³ + 8⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 7712295 and 7712304.

It is not an unprimeable number, because it can be changed into a prime (7712321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5278 + ... + 6578.

It is an arithmetic number, because the mean of its divisors is an integer number (341775).

Almost surely, 2^7712328 is an apocalyptic number.

7712328 is a gapful number since it is divisible by the number (78) 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 7712328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936800).

7712328 is an abundant number, since it is smaller than the sum of its proper divisors (14161272).

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

7712328 is a wasteful number, since it uses less digits than its factorization.

7712328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1338 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 7712328 is about 2777.1078481039. The cubic root of 7712328 is about 197.5734107273.

The spelling of 7712328 in words is "seven million, seven hundred twelve thousand, three hundred twenty-eight".