876180242025 has 405 divisors, whose sum is σ = 1874063468277. Its totient is φ = 404371440000.

The previous prime is 876180241969. The next prime is 876180242033. The reversal of 876180242025 is 520242081678.

The square root of 876180242025 is 936045.

It is a perfect power (a square), and thus also a powerful number.

876180242025 is a `hidden beast` number, since 8 + 7 + 618 + 0 + 2 + 4 + 2 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 403584490089 + 472595751936 = 635283^2 + 687456^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 876180242025 - 2¹⁵ = 876180209257 is a prime.

It is a super-2 number, since 2×876180242025² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 14363610495 + ... + 14363610555.

Almost surely, 2^876180242025 is an apocalyptic number.

876180242025 is the 936045-th square number.

876180242025 is the 468023-rd centered octagonal number.

It is an amenable number.

876180242025 is an abundant number, since it is smaller than the sum of its proper divisors (997883226252).

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

876180242025 is a wasteful number, since it uses less digits than its factorization.

876180242025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 876180242025 in words is "eight hundred seventy-six billion, one hundred eighty million, two hundred forty-two thousand, twenty-five".