7872126080 has 256 divisors, whose sum is σ = 24527784960. Its totient is φ = 2344550400.

The previous prime is 7872126079. The next prime is 7872126103. The reversal of 7872126080 is 806212787.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986105 + ... + 994055.

It is an arithmetic number, because the mean of its divisors is an integer number (95811660).

Almost surely, 2^7872126080 is an apocalyptic number.

7872126080 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 7872126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12263892480).

7872126080 is an abundant number, since it is smaller than the sum of its proper divisors (16655658880).

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

7872126080 is a wasteful number, since it uses less digits than its factorization.

7872126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 7995 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 7872126080 is about 88725.0025641025. The cubic root of 7872126080 is about 1989.2865535044.

The spelling of 7872126080 in words is "seven billion, eight hundred seventy-two million, one hundred twenty-six thousand, eighty".