880080408001 has 16 divisors (see below), whose sum is σ = 921015190224. Its totient is φ = 840051523584.

The previous prime is 880080407993. The next prime is 880080408007. The reversal of 880080408001 is 100804080088.

It can be written as a sum of positive squares in 8 ways, for example, as 71877610000 + 808202798001 = 268100^2 + 899001^2 .

It is not a de Polignac number, because 880080408001 - 2³ = 880080407993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (880080408007) 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 15 ways as a sum of consecutive naturals, for example, 27267265 + ... + 27299521.

It is an arithmetic number, because the mean of its divisors is an integer number (57563449389).

Almost surely, 2^880080408001 is an apocalyptic number.

It is an amenable number.

880080408001 is a deficient number, since it is larger than the sum of its proper divisors (40934782223).

880080408001 is a wasteful number, since it uses less digits than its factorization.

880080408001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46260.

The product of its (nonzero) digits is 16384, while the sum is 37.

Adding to 880080408001 its reverse (100804080088), we get a palindrome (980884488089).

The spelling of 880080408001 in words is "eight hundred eighty billion, eighty million, four hundred eight thousand, one".