76316825025 has 135 divisors (see below), whose sum is σ = 164632886649. Its totient is φ = 34847910720.

The previous prime is 76316825003. The next prime is 76316825027. The reversal of 76316825025 is 52052861367.

The square root of 76316825025 is 276255.

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

76316825025 is a `hidden beast` number, since 7 + 63 + 1 + 6 + 82 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4153673601 + 72163151424 = 64449^2 + 268632^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 76316825025 - 2²¹ = 76314727873 is a prime.

It is a super-3 number, since 3×76316825025³ (a number of 34 digits) contains 333 as substring.

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 (76316825027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 87019887 + ... + 87020763.

Almost surely, 2^76316825025 is an apocalyptic number.

76316825025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

76316825025 is the 276255-th square number.

76316825025 is the 138128-th centered octagonal number.

It is an amenable number.

76316825025 is an abundant number, since it is smaller than the sum of its proper divisors (88316061624).

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

76316825025 is an frugal number, since it uses more digits than its factorization.

76316825025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 76316825025 in words is "seventy-six billion, three hundred sixteen million, eight hundred twenty-five thousand, twenty-five".