7278883560 has 320 divisors, whose sum is σ = 26788441680. Its totient is φ = 1761730560.

The previous prime is 7278883553. The next prime is 7278883613. The reversal of 7278883560 is 653888727.

7278883560 is a `hidden beast` number, since 7 + 2 + 78 + 8 + 8 + 3 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 191600964 + 7087282596 = 13842^2 + 84186^2 .

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 = 7278883497 and 7278883506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2567904 + ... + 2570736.

Almost surely, 2^7278883560 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 7278883560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13394220840).

7278883560 is an abundant number, since it is smaller than the sum of its proper divisors (19509558120).

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

7278883560 is a wasteful number, since it uses less digits than its factorization.

7278883560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 7278883560 is about 85316.3733406431. The cubic root of 7278883560 is about 1938.0051375800.

The spelling of 7278883560 in words is "seven billion, two hundred seventy-eight million, eight hundred eighty-three thousand, five hundred sixty".