7851064760 has 128 divisors (see below), whose sum is σ = 22052044800. Its totient is φ = 2443944960.

The previous prime is 7851064723. The next prime is 7851064769. The reversal of 7851064760 is 674601587.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7851064769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3938324 + ... + 3940316.

It is an arithmetic number, because the mean of its divisors is an integer number (172281600).

Almost surely, 2^7851064760 is an apocalyptic number.

7851064760 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 7851064760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11026022400).

7851064760 is an abundant number, since it is smaller than the sum of its proper divisors (14200980040).

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

7851064760 is a wasteful number, since it uses less digits than its factorization.

7851064760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 7851064760 is about 88606.2343179079. The cubic root of 7851064760 is about 1987.5109035700.

The spelling of 7851064760 in words is "seven billion, eight hundred fifty-one million, sixty-four thousand, seven hundred sixty".