7978505760 has 144 divisors (see below), whose sum is σ = 27441662976. Its totient is φ = 2110800384.

The previous prime is 7978505747. The next prime is 7978505771. The reversal of 7978505760 is 675058797.

7978505760 is a `hidden beast` number, since 7 + 9 + 78 + 505 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 7978505697 and 7978505706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161067 + ... + 204693.

It is an arithmetic number, because the mean of its divisors is an integer number (190567104).

Almost surely, 2^7978505760 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 7978505760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13720831488).

7978505760 is an abundant number, since it is smaller than the sum of its proper divisors (19463157216).

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

7978505760 is a wasteful number, since it uses less digits than its factorization.

7978505760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43775 (or 43764 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The square root of 7978505760 is about 89322.4818284848. The cubic root of 7978505760 is about 1998.2072067597.

The spelling of 7978505760 in words is "seven billion, nine hundred seventy-eight million, five hundred five thousand, seven hundred sixty".