7818122880 has 192 divisors, whose sum is σ = 27572313600. Its totient is φ = 2040403968.

The previous prime is 7818122801. The next prime is 7818122969. The reversal of 7818122880 is 882218187.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7818122880² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 256281 + ... + 285159.

It is an arithmetic number, because the mean of its divisors is an integer number (143605800).

Almost surely, 2^7818122880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7818122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13786156800).

7818122880 is an abundant number, since it is smaller than the sum of its proper divisors (19754190720).

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

7818122880 is a wasteful number, since it uses less digits than its factorization.

7818122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28951 (or 28936 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The square root of 7818122880 is about 88420.1497397511. The cubic root of 7818122880 is about 1984.7272416326.

The spelling of 7818122880 in words is "seven billion, eight hundred eighteen million, one hundred twenty-two thousand, eight hundred eighty".