882616761 has 24 divisors (see below), whose sum is σ = 1453725000. Its totient is φ = 511197696.

The previous prime is 882616751. The next prime is 882616783. The reversal of 882616761 is 167616288.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 258566400 + 624050361 = 16080^2 + 24981^2 .

It is not a de Polignac number, because 882616761 - 2¹⁰ = 882615737 is a prime.

It is a super-2 number, since 2×882616761² = 1558024693596262242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (882616741) 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 23 ways as a sum of consecutive naturals, for example, 219886 + ... + 223863.

It is an arithmetic number, because the mean of its divisors is an integer number (60571875).

Almost surely, 2^882616761 is an apocalyptic number.

It is an amenable number.

882616761 is a deficient number, since it is larger than the sum of its proper divisors (571108239).

882616761 is a wasteful number, since it uses less digits than its factorization.

882616761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443785 (or 443782 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 882616761 is about 29708.8667067594. The cubic root of 882616761 is about 959.2328800090.

The spelling of 882616761 in words is "eight hundred eighty-two million, six hundred sixteen thousand, seven hundred sixty-one".