76947720840225 has 45 divisors (see below), whose sum is σ = 142534509405673. Its totient is φ = 41038573920480.

The previous prime is 76947720840203. The next prime is 76947720840227. The reversal of 76947720840225 is 52204802774967.

It is a happy number.

The square root of 76947720840225 is 8771985.

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

76947720840225 is a `hidden beast` number, since 7 + 69 + 477 + 2 + 0 + 84 + 0 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33357936550689 + 43589784289536 = 5775633^2 + 6602256^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-76947720840225 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76947720840227) 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, 394641859 + ... + 394836791.

Almost surely, 2^{76947720840225} is an apocalyptic number.

76947720840225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

76947720840225 is the 8771985-th square number.

76947720840225 is the 4385993-rd centered octagonal number.

It is an amenable number.

76947720840225 is a deficient number, since it is larger than the sum of its proper divisors (65586788565448).

76947720840225 is an frugal number, since it uses more digits than its factorization.

76947720840225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389888 (or 194941 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 76947720840225 in words is "seventy-six trillion, nine hundred forty-seven billion, seven hundred twenty million, eight hundred forty thousand, two hundred twenty-five".