7827782976 has 280 divisors, whose sum is σ = 25607445864. Its totient is φ = 2348974080.

The previous prime is 7827782969. The next prime is 7827783013. The reversal of 7827782976 is 6792877287.

7827782976 is a `hidden beast` number, since 78 + 277 + 8 + 297 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 149817600 + 7677965376 = 12240^2 + 87624^2 .

It is a super-2 number, since 2×7827782976² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2761656 + ... + 2764488.

Almost surely, 2^7827782976 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 7827782976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12803722932).

7827782976 is an abundant number, since it is smaller than the sum of its proper divisors (17779662888).

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

7827782976 is a wasteful number, since it uses less digits than its factorization.

7827782976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2892 counting only the distinct ones).

The product of its digits is 33191424, while the sum is 63.

The square root of 7827782976 is about 88474.7589767839. The cubic root of 7827782976 is about 1985.5443501552.

The spelling of 7827782976 in words is "seven billion, eight hundred twenty-seven million, seven hundred eighty-two thousand, nine hundred seventy-six".