87880823809 has 9 divisors (see below), whose sum is σ = 91874983683. Its totient is φ = 84053396592.

The previous prime is 87880823777. The next prime is 87880823831. The reversal of 87880823809 is 90832808878.

The square root of 87880823809 is 296447.

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., 57646569409 + 30234254400 = 240097^2 + 173880^2 .

It is not a de Polignac number, because 87880823809 - 2⁵ = 87880823777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87880823839) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6811837 + ... + 6824725.

Almost surely, 2^87880823809 is an apocalyptic number.

87880823809 is the 296447-th square number.

87880823809 is the 148224-th centered octagonal number.

It is an amenable number.

87880823809 is a deficient number, since it is larger than the sum of its proper divisors (3994159874).

87880823809 is an frugal number, since it uses more digits than its factorization.

87880823809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25824 (or 12912 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 61.

The spelling of 87880823809 in words is "eighty-seven billion, eight hundred eighty million, eight hundred twenty-three thousand, eight hundred nine".