826345800 has 432 divisors, whose sum is σ = 3357441360. Its totient is φ = 188334720.

The previous prime is 826345787. The next prime is 826345829. The reversal of 826345800 is 8543628.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2381227 + ... + 2381573.

It is an arithmetic number, because the mean of its divisors is an integer number (7771855).

Almost surely, 2^826345800 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 826345800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678720680).

826345800 is an abundant number, since it is smaller than the sum of its proper divisors (2531095560).

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

826345800 is a wasteful number, since it uses less digits than its factorization.

826345800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 826345800 is about 28746.2310573056. The cubic root of 826345800 is about 938.3984347277.

The spelling of 826345800 in words is "eight hundred twenty-six million, three hundred forty-five thousand, eight hundred".