7800686880 has 192 divisors, whose sum is σ = 28218129408. Its totient is φ = 1774402560.

The previous prime is 7800686879. The next prime is 7800686897. The reversal of 7800686880 is 886860087.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703459 + ... + 714461.

It is an arithmetic number, because the mean of its divisors is an integer number (146969424).

Almost surely, 2^7800686880 is an apocalyptic number.

7800686880 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 7800686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14109064704).

7800686880 is an abundant number, since it is smaller than the sum of its proper divisors (20417442528).

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

7800686880 is a wasteful number, since it uses less digits than its factorization.

7800686880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11239 (or 11231 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The square root of 7800686880 is about 88321.4972699172. The cubic root of 7800686880 is about 1983.2506952991.

The spelling of 7800686880 in words is "seven billion, eight hundred million, six hundred eighty-six thousand, eight hundred eighty".