826793856 has 288 divisors, whose sum is σ = 2814673680. Its totient is φ = 232243200.

The previous prime is 826793837. The next prime is 826793867. The reversal of 826793856 is 658397628.

It is a happy number.

826793856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5475381 + ... + 5475531.

Almost surely, 2^826793856 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 826793856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407336840).

826793856 is an abundant number, since it is smaller than the sum of its proper divisors (1987879824).

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

826793856 is a wasteful number, since it uses less digits than its factorization.

826793856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 260 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 826793856 is about 28754.0233010965. The cubic root of 826793856 is about 938.5680082403.

The spelling of 826793856 in words is "eight hundred twenty-six million, seven hundred ninety-three thousand, eight hundred fifty-six".