826725504 has 256 divisors, whose sum is σ = 2630620800. Its totient is φ = 227082240.

The previous prime is 826725503. The next prime is 826725553. The reversal of 826725504 is 405527628.

It is not an unprimeable number, because it can be changed into a prime (826725503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2082234 + ... + 2082630.

Almost surely, 2^826725504 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 826725504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315310400).

826725504 is an abundant number, since it is smaller than the sum of its proper divisors (1803895296).

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

826725504 is a wasteful number, since it uses less digits than its factorization.

826725504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 826725504 is about 28752.8347124244. The cubic root of 826725504 is about 938.5421433615.

The spelling of 826725504 in words is "eight hundred twenty-six million, seven hundred twenty-five thousand, five hundred four".