7892847360 has 360 divisors, whose sum is σ = 28447206480. Its totient is φ = 2089525248.

The previous prime is 7892847317. The next prime is 7892847383. The reversal of 7892847360 is 637482987.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7892847297 and 7892847306.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27889779 + ... + 27890061.

It is an arithmetic number, because the mean of its divisors is an integer number (79020018).

Almost surely, 2^7892847360 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 7892847360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14223603240).

7892847360 is an abundant number, since it is smaller than the sum of its proper divisors (20554359120).

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

7892847360 is a wasteful number, since it uses less digits than its factorization.

7892847360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 7892847360 is about 88841.6983178507. The cubic root of 7892847360 is about 1991.0304470286.

The spelling of 7892847360 in words is "seven billion, eight hundred ninety-two million, eight hundred forty-seven thousand, three hundred sixty".