7772944 has 45 divisors (see below), whose sum is σ = 16397791. Its totient is φ = 3568640.

The previous prime is 7772929. The next prime is 7772951. The reversal of 7772944 is 4492777.

The square root of 7772944 is 2788.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 547600 + 7225344 = 740^2 + 2688^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7772897 and 7772906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 189564 + ... + 189604.

Almost surely, 2^7772944 is an apocalyptic number.

7772944 is the 2788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7772944

7772944 is an abundant number, since it is smaller than the sum of its proper divisors (8624847).

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

7772944 is a wasteful number, since it uses less digits than its factorization.

7772944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 60 counting only the distinct ones).

The product of its digits is 98784, while the sum is 40.

The cubic root of 7772944 is about 198.0896781131.

It can be divided in two parts, 777 and 2944, that added together give a square (3721 = 61²).

The spelling of 7772944 in words is "seven million, seven hundred seventy-two thousand, nine hundred forty-four".