76825663250625 has 45 divisors (see below), whose sum is σ = 138669801491221. Its totient is φ = 40973336466000.

The previous prime is 76825663250599. The next prime is 76825663250629. The reversal of 76825663250625 is 52605236652867.

The square root of 76825663250625 is 8765025.

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

76825663250625 is a `hidden beast` number, since 7 + 6 + 8 + 2 + 566 + 3 + 2 + 5 + 0 + 62 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6023131998849 + 70802531251776 = 2454207^2 + 8414424^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 76825663250625 - 2¹⁷ = 76825663119553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76825663250629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 657318442 + ... + 657435308.

Almost surely, 2^{76825663250625} is an apocalyptic number.

76825663250625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

76825663250625 is the 8765025-th square number.

76825663250625 is the 4382513-rd centered octagonal number.

It is an amenable number.

76825663250625 is a deficient number, since it is larger than the sum of its proper divisors (61844138240596).

76825663250625 is an frugal number, since it uses more digits than its factorization.

76825663250625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233760 (or 116875 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 76825663250625 in words is "seventy-six trillion, eight hundred twenty-five billion, six hundred sixty-three million, two hundred fifty thousand, six hundred twenty-five".