77282823834225 has 63 divisors (see below), whose sum is σ = 143682531288123. Its totient is φ = 41216873088240.

The previous prime is 77282823834197. The next prime is 77282823834257. The reversal of 77282823834225 is 52243832828277.

The square root of 77282823834225 is 8791065.

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

77282823834225 is a `hidden beast` number, since 7 + 7 + 2 + 8 + 28 + 2 + 383 + 4 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27821816580321 + 49461007253904 = 5274639^2 + 7032852^2 .

It is not a de Polignac number, because 77282823834225 - 2⁵ = 77282823834193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1186761216 + ... + 1186826334.

Almost surely, 2^{77282823834225} is an apocalyptic number.

77282823834225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

77282823834225 is the 8791065-th square number.

77282823834225 is the 4395533-rd centered octagonal number.

It is an amenable number.

77282823834225 is a deficient number, since it is larger than the sum of its proper divisors (66399707453898).

77282823834225 is an frugal number, since it uses more digits than its factorization.

77282823834225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130266 (or 65127 counting only the distinct ones).

The product of its digits is 144506880, while the sum is 63.

The spelling of 77282823834225 in words is "seventy-seven trillion, two hundred eighty-two billion, eight hundred twenty-three million, eight hundred thirty-four thousand, two hundred twenty-five".