75878820614025 has 729 divisors, whose sum is σ = 168433070884533. Its totient is φ = 32613403680000.

The previous prime is 75878820614011. The next prime is 75878820614101. The reversal of 75878820614025 is 52041602887857.

The square root of 75878820614025 is 8710845.

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

75878820614025 is a `hidden beast` number, since 7 + 5 + 8 + 7 + 8 + 8 + 2 + 0 + 614 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19557878260041 + 56320942353984 = 4422429^2 + 7504728^2 .

It is not a de Polignac number, because 75878820614025 - 2³⁹ = 75329064800137 is a prime.

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 728 ways as a sum of consecutive naturals, for example, 579227638210 + ... + 579227638340.

Almost surely, 2^{75878820614025} is an apocalyptic number.

75878820614025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75878820614025 is the 8710845-th square number.

75878820614025 is the 4355423-rd centered octagonal number.

It is an amenable number.

75878820614025 is an abundant number, since it is smaller than the sum of its proper divisors (92554250270508).

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

75878820614025 is a wasteful number, since it uses less digits than its factorization.

75878820614025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 75878820614025 in words is "seventy-five trillion, eight hundred seventy-eight billion, eight hundred twenty million, six hundred fourteen thousand, twenty-five".