770032575225 has 81 divisors (see below), whose sum is σ = 1456097556303. Its totient is φ = 388942728480.

The previous prime is 770032575199. The next prime is 770032575227. The reversal of 770032575225 is 522575230077.

The square root of 770032575225 is 877515.

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

770032575225 is a `hidden beast` number, since 7 + 70 + 0 + 3 + 2 + 57 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 277211727081 + 492820848144 = 526509^2 + 702012^2 .

It is not a de Polignac number, because 770032575225 - 2⁹ = 770032574713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (770032575227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 250090236 + ... + 250093314.

Almost surely, 2^770032575225 is an apocalyptic number.

770032575225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

770032575225 is the 877515-th square number.

770032575225 is the 438758-th centered octagonal number.

It is an amenable number.

770032575225 is a deficient number, since it is larger than the sum of its proper divisors (686064981078).

770032575225 is an equidigital number, since it uses as much as digits as its factorization.

770032575225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 1029000, while the sum is 45.

The spelling of 770032575225 in words is "seven hundred seventy billion, thirty-two million, five hundred seventy-five thousand, two hundred twenty-five".