826842700 has 72 divisors (see below), whose sum is σ = 1885959152. Its totient is φ = 314254080.

The previous prime is 826842691. The next prime is 826842721. The reversal of 826842700 is 7248628.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 826842700.

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, 156502 + ... + 161698.

Almost surely, 2^826842700 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 826842700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942979576).

826842700 is an abundant number, since it is smaller than the sum of its proper divisors (1059116452).

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

826842700 is a wasteful number, since it uses less digits than its factorization.

826842700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 826842700 is about 28754.8726305647. The cubic root of 826842700 is about 938.5864902810.

The spelling of 826842700 in words is "eight hundred twenty-six million, eight hundred forty-two thousand, seven hundred".