7817382898080 has 1536 divisors, whose sum is σ = 31275076976640. Its totient is φ = 1602292285440.

The previous prime is 7817382898033. The next prime is 7817382898099. The reversal of 7817382898080 is 808982837187.

It is a super-2 number, since 2×7817382898080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 7817382897996 and 7817382898014.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11615724624 + ... + 11615725296.

It is an arithmetic number, because the mean of its divisors is an integer number (20361378240).

Almost surely, 2^{7817382898080} is an apocalyptic number.

7817382898080 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 7817382898080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637538488320).

7817382898080 is an abundant number, since it is smaller than the sum of its proper divisors (23457694078560).

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

7817382898080 is a wasteful number, since it uses less digits than its factorization.

7817382898080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 69.

The spelling of 7817382898080 in words is "seven trillion, eight hundred seventeen billion, three hundred eighty-two million, eight hundred ninety-eight thousand, eighty".