8008400000080 has 20 divisors (see below), whose sum is σ = 18619530000372. Its totient is φ = 3203360000000.

The previous prime is 8008400000077. The next prime is 8008400000101. The reversal of 8008400000080 is 800000048008.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1595613606976 + 6412786393104 = 1263176^2 + 2532348^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×8008400000080² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8008399999994 and 8008400000048.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 50052499921 + ... + 50052500080.

Almost surely, 2^{8008400000080} is an apocalyptic number.

8008400000080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8008400000080 is an abundant number, since it is smaller than the sum of its proper divisors (10611130000292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8008400000080 is a wasteful number, since it uses less digits than its factorization.

8008400000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100105000014 (or 100105000008 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 8008400000080 its reverse (800000048008), we get a palindrome (8808400048088).

The spelling of 8008400000080 in words is "eight trillion, eight billion, four hundred million, eighty", and thus it is an aban number.