8107729200720 has 120 divisors (see below), whose sum is σ = 27229199797800. Its totient is φ = 2162002157568.

The previous prime is 8107729200673. The next prime is 8107729200721. The reversal of 8107729200720 is 270029277018.

It can be written as a sum of positive squares in 4 ways, for example, as 41084046864 + 8066645153856 = 202692^2 + 2840184^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8107729200721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30517416 + ... + 30781944.

It is an arithmetic number, because the mean of its divisors is an integer number (226909998315).

Almost surely, 2^{8107729200720} is an apocalyptic number.

8107729200720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8107729200720 is an abundant number, since it is smaller than the sum of its proper divisors (19121470597080).

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

8107729200720 is a wasteful number, since it uses less digits than its factorization.

8107729200720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307117 (or 307108 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 8107729200720 in words is "eight trillion, one hundred seven billion, seven hundred twenty-nine million, two hundred thousand, seven hundred twenty".