7796280960 has 288 divisors, whose sum is σ = 29155358700. Its totient is φ = 1918844928.

The previous prime is 7796280949. The next prime is 7796281021. The reversal of 7796280960 is 690826977.

7796280960 is a `hidden beast` number, since 7 + 7 + 9 + 628 + 0 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1172925504 + 6623355456 = 34248^2 + 81384^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 7796280897 and 7796280906.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 969436 + ... + 977444.

Almost surely, 2^7796280960 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 7796280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14577679350).

7796280960 is an abundant number, since it is smaller than the sum of its proper divisors (21359077740).

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

7796280960 is a wasteful number, since it uses less digits than its factorization.

7796280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8060 (or 8032 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 7796280960 is about 88296.5512350284. The cubic root of 7796280960 is about 1982.8772371805.

The spelling of 7796280960 in words is "seven billion, seven hundred ninety-six million, two hundred eighty thousand, nine hundred sixty".