7978645760 has 144 divisors (see below), whose sum is σ = 19470326400. Its totient is φ = 3132162048.

The previous prime is 7978645721. The next prime is 7978645769. The reversal of 7978645760 is 675468797.

It is a self number, because there is not a number n which added to its sum of digits gives 7978645760.

It is not an unprimeable number, because it can be changed into a prime (7978645769) 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, 22224461 + ... + 22224819.

It is an arithmetic number, because the mean of its divisors is an integer number (135210600).

Almost surely, 2^7978645760 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 7978645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9735163200).

7978645760 is an abundant number, since it is smaller than the sum of its proper divisors (11491680640).

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

7978645760 is a wasteful number, since it uses less digits than its factorization.

7978645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 59.

The square root of 7978645760 is about 89323.2655023315. The cubic root of 7978645760 is about 1998.2188943021.

The spelling of 7978645760 in words is "seven billion, nine hundred seventy-eight million, six hundred forty-five thousand, seven hundred sixty".