76084947225 has 243 divisors, whose sum is σ = 165253167261. Its totient is φ = 33365001600.

The previous prime is 76084947217. The next prime is 76084947241. The reversal of 76084947225 is 52274948067.

The square root of 76084947225 is 275835.

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

76084947225 is a `hidden beast` number, since 7 + 60 + 8 + 494 + 72 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7222790169 + 68862157056 = 84987^2 + 262416^2 .

It is not a de Polignac number, because 76084947225 - 2³ = 76084947217 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1071618940 + ... + 1071619010.

Almost surely, 2^76084947225 is an apocalyptic number.

76084947225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

76084947225 is the 275835-th square number.

76084947225 is the 137918-th centered octagonal number.

It is an amenable number.

76084947225 is an abundant number, since it is smaller than the sum of its proper divisors (89168220036).

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

76084947225 is a wasteful number, since it uses less digits than its factorization.

76084947225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 76084947225 in words is "seventy-six billion, eighty-four million, nine hundred forty-seven thousand, two hundred twenty-five".