7740304441 has 9 divisors (see below), whose sum is σ = 7829556399. Its totient is φ = 7652061504.

The previous prime is 7740304427. The next prime is 7740304487. The reversal of 7740304441 is 1444030477.

The square root of 7740304441 is 87979.

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

It can be written as a sum of positive squares in only one way, i.e., 3475692025 + 4264612416 = 58955^2 + 65304^2 .

It is not a de Polignac number, because 7740304441 - 2¹¹ = 7740302393 is a prime.

It is a super-3 number, since 3×7740304441³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7740304397 and 7740304406.

It is not an unprimeable number, because it can be changed into a prime (7740304541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8533510 + ... + 8534416.

It is an arithmetic number, because the mean of its divisors is an integer number (869950711).

Almost surely, 2^7740304441 is an apocalyptic number.

7740304441 is the 87979-th square number.

7740304441 is the 43990-th centered octagonal number.

It is an amenable number.

7740304441 is a deficient number, since it is larger than the sum of its proper divisors (89251958).

7740304441 is an frugal number, since it uses more digits than its factorization.

7740304441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The cubic root of 7740304441 is about 1978.1202137605.

The spelling of 7740304441 in words is "seven billion, seven hundred forty million, three hundred four thousand, four hundred forty-one".