8761540800100 has 243 divisors, whose sum is σ = 21252645084153. Its totient is φ = 3132853416000.

The previous prime is 8761540799989. The next prime is 8761540800113. The reversal of 8761540800100 is 10080451678.

The square root of 8761540800100 is 2959990.

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., 3154154688036 + 5607386112064 = 1775994^2 + 2367992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23117521711 + ... + 23117522089.

Almost surely, 2^{8761540800100} is an apocalyptic number.

8761540800100 is the 2959990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8761540800100

8761540800100 is an abundant number, since it is smaller than the sum of its proper divisors (12491104284053).

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

8761540800100 is a wasteful number, since it uses less digits than its factorization.

8761540800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 8761540800100 in words is "eight trillion, seven hundred sixty-one billion, five hundred forty million, eight hundred thousand, one hundred".