77932612923025 has 81 divisors (see below), whose sum is σ = 114598933044561. Its totient is φ = 52420196162880.

The previous prime is 77932612922947. The next prime is 77932612923029. The reversal of 77932612923025 is 52032921623977.

It is a happy number.

The square root of 77932612923025 is 8827945.

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

It can be written as a sum of positive squares in 4 ways, for example, as 587060907601 + 77345552015424 = 766199^2 + 8794632^2 .

It is not a de Polignac number, because 77932612923025 - 2⁷ = 77932612922897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77932612923029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16375835596 + ... + 16375840354.

Almost surely, 2^{77932612923025} is an apocalyptic number.

77932612923025 is the 8827945-th square number.

77932612923025 is the 4413973-rd centered octagonal number.

It is an amenable number.

77932612923025 is a deficient number, since it is larger than the sum of its proper divisors (36666320121536).

77932612923025 is an frugal number, since it uses more digits than its factorization.

77932612923025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9648 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 58.

The spelling of 77932612923025 in words is "seventy-seven trillion, nine hundred thirty-two billion, six hundred twelve million, nine hundred twenty-three thousand, twenty-five".