826850752 has 168 divisors, whose sum is σ = 2073469056. Its totient is φ = 320246784.

The previous prime is 826850749. The next prime is 826850767. The reversal of 826850752 is 257058628.

It is a junction number, because it is equal to n+sod(n) for n = 826850699 and 826850708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5072623 + ... + 5072785.

Almost surely, 2^826850752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826850752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036734528).

826850752 is an abundant number, since it is smaller than the sum of its proper divisors (1246618304).

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

826850752 is a wasteful number, since it uses less digits than its factorization.

826850752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 826850752 is about 28755.0126412770. The cubic root of 826850752 is about 938.5895370007.

The spelling of 826850752 in words is "eight hundred twenty-six million, eight hundred fifty thousand, seven hundred fifty-two".