7817085444 has 72 divisors (see below), whose sum is σ = 21237793248. Its totient is φ = 2231349120.

The previous prime is 7817085443. The next prime is 7817085473. The reversal of 7817085444 is 4445807187.

It is a super-2 number, since 2×7817085444² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7817085393 and 7817085402.

It is not an unprimeable number, because it can be changed into a prime (7817085443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682872 + ... + 694224.

Almost surely, 2^7817085444 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 7817085444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10618896624).

7817085444 is an abundant number, since it is smaller than the sum of its proper divisors (13420707804).

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

7817085444 is a wasteful number, since it uses less digits than its factorization.

7817085444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12545 (or 12536 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The square root of 7817085444 is about 88414.2830316460. The cubic root of 7817085444 is about 1984.6394490936.

The spelling of 7817085444 in words is "seven billion, eight hundred seventeen million, eighty-five thousand, four hundred forty-four".