7852320 has 288 divisors, whose sum is σ = 33022080. Its totient is φ = 1658880.

The previous prime is 7852319. The next prime is 7852349. The reversal of 7852320 is 232587.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191500 + ... + 191540.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 2^7852320 is an apocalyptic number.

7852320 is a gapful number since it is divisible by the number (70) 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 7852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

7852320 is an abundant number, since it is smaller than the sum of its proper divisors (25169760).

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

7852320 is a wasteful number, since it uses less digits than its factorization.

7852320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7852320 is about 2802.1991363927. The cubic root of 7852320 is about 198.7616820000.

The spelling of 7852320 in words is "seven million, eight hundred fifty-two thousand, three hundred twenty".