75704771025 has 243 divisors, whose sum is σ = 157875295539. Its totient is φ = 34655063040.

The previous prime is 75704771003. The next prime is 75704771057. The reversal of 75704771025 is 52017740757.

The square root of 75704771025 is 275145.

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

75704771025 is a `hidden beast` number, since 7 + 5 + 70 + 477 + 102 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 55134327249 + 20570443776 = 234807^2 + 143424^2 .

It is not a de Polignac number, because 75704771025 - 2⁹ = 75704770513 is a prime.

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

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, 912105634 + ... + 912105716.

Almost surely, 2^75704771025 is an apocalyptic number.

75704771025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75704771025 is the 275145-th square number.

75704771025 is the 137573-rd centered octagonal number.

It is an amenable number.

75704771025 is an abundant number, since it is smaller than the sum of its proper divisors (82170524514).

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

75704771025 is a wasteful number, since it uses less digits than its factorization.

75704771025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 480200, while the sum is 45.

The spelling of 75704771025 in words is "seventy-five billion, seven hundred four million, seven hundred seventy-one thousand, twenty-five".