7722443344 has 80 divisors (see below), whose sum is σ = 18696053376. Its totient is φ = 3001996800.

The previous prime is 7722443329. The next prime is 7722443363. The reversal of 7722443344 is 4433442277.

It is a happy number.

It is a super-3 number, since 3×7722443344³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 7722443297 and 7722443306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561154 + ... + 574750.

Almost surely, 2^7722443344 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 7722443344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9348026688).

7722443344 is an abundant number, since it is smaller than the sum of its proper divisors (10973610032).

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

7722443344 is a wasteful number, since it uses less digits than its factorization.

With its successor (7722443345) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (14084).

7722443344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14084 (or 14078 counting only the distinct ones).

The product of its digits is 451584, while the sum is 40.

The square root of 7722443344 is about 87877.4336448215. The cubic root of 7722443344 is about 1976.5975084443.

The spelling of 7722443344 in words is "seven billion, seven hundred twenty-two million, four hundred forty-three thousand, three hundred forty-four".