7967886080 has 216 divisors, whose sum is σ = 24222013200. Its totient is φ = 2483281920.

The previous prime is 7967885969. The next prime is 7967886083. The reversal of 7967886080 is 806887697.

It is not an unprimeable number, because it can be changed into a prime (7967886083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684146 + ... + 695694.

It is an arithmetic number, because the mean of its divisors is an integer number (112138950).

Almost surely, 2^7967886080 is an apocalyptic number.

7967886080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7967886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12111006600).

7967886080 is an abundant number, since it is smaller than the sum of its proper divisors (16254127120).

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

7967886080 is a wasteful number, since it uses less digits than its factorization.

7967886080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11595 (or 11574 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 59.

The square root of 7967886080 is about 89263.0163057467. The cubic root of 7967886080 is about 1997.3202510765.

The spelling of 7967886080 in words is "seven billion, nine hundred sixty-seven million, eight hundred eighty-six thousand, eighty".