7852320720 has 240 divisors, whose sum is σ = 27568391760. Its totient is φ = 2000388096.

The previous prime is 7852320713. The next prime is 7852320731. The reversal of 7852320720 is 270232587.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 349989264 + 7502331456 = 18708^2 + 86616^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2023422 + ... + 2027298.

It is an arithmetic number, because the mean of its divisors is an integer number (114868299).

Almost surely, 2^7852320720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7852320720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13784195880).

7852320720 is an abundant number, since it is smaller than the sum of its proper divisors (19716071040).

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

7852320720 is a wasteful number, since it uses less digits than its factorization.

7852320720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7852320720 is about 88613.3213461723. The cubic root of 7852320720 is about 1987.6168807495.

The spelling of 7852320720 in words is "seven billion, eight hundred fifty-two million, three hundred twenty thousand, seven hundred twenty".