7802365561 has 9 divisors (see below), whose sum is σ = 8236401231. Its totient is φ = 7390124784.

The previous prime is 7802365547. The next prime is 7802365573. The reversal of 7802365561 is 1655632087.

The square root of 7802365561 is 88331.

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., 7635439161 + 166926400 = 87381^2 + 12920^2 .

It is not a de Polignac number, because 7802365561 - 2¹³ = 7802357369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7802365591) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1675965 + ... + 1680613.

Almost surely, 2^7802365561 is an apocalyptic number.

7802365561 is the 88331-st square number.

7802365561 is the 44166-th centered octagonal number.

It is an amenable number.

7802365561 is a deficient number, since it is larger than the sum of its proper divisors (434035670).

7802365561 is an frugal number, since it uses more digits than its factorization.

7802365561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The cubic root of 7802365561 is about 1983.3929480061.

The spelling of 7802365561 in words is "seven billion, eight hundred two million, three hundred sixty-five thousand, five hundred sixty-one".