825077682 has 96 divisors (see below), whose sum is σ = 2129452416. Its totient is φ = 227577600.

The previous prime is 825077663. The next prime is 825077699. The reversal of 825077682 is 286770528.

825077682 is a `hidden beast` number, since 82 + 507 + 7 + 68 + 2 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 185707 + ... + 190097.

It is an arithmetic number, because the mean of its divisors is an integer number (22181796).

Almost surely, 2^825077682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825077682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064726208).

825077682 is an abundant number, since it is smaller than the sum of its proper divisors (1304374734).

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

825077682 is a wasteful number, since it uses less digits than its factorization.

825077682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 825077682 is about 28724.1654709062. The cubic root of 825077682 is about 937.9181639604.

The spelling of 825077682 in words is "eight hundred twenty-five million, seventy-seven thousand, six hundred eighty-two".