7882116480 has 960 divisors, whose sum is σ = 34189808400. Its totient is φ = 1723244544.

The previous prime is 7882116467. The next prime is 7882116481. The reversal of 7882116480 is 846112887.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7882116481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73664587 + ... + 73664693.

Almost surely, 2^7882116480 is an apocalyptic number.

7882116480 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 7882116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17094904200).

7882116480 is an abundant number, since it is smaller than the sum of its proper divisors (26307691920).

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

7882116480 is a wasteful number, since it uses less digits than its factorization.

7882116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 7882116480 is about 88781.2845142488. The cubic root of 7882116480 is about 1990.1277225835.

The spelling of 7882116480 in words is "seven billion, eight hundred eighty-two million, one hundred sixteen thousand, four hundred eighty".