826872300 has 360 divisors, whose sum is σ = 2873566080. Its totient is φ = 205286400.

The previous prime is 826872271. The next prime is 826872317. The reversal of 826872300 is 3278628.

It is a happy number.

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

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 119 ways as a sum of consecutive naturals, for example, 9290656 + ... + 9290744.

It is an arithmetic number, because the mean of its divisors is an integer number (7982128).

Almost surely, 2^826872300 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 826872300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436783040).

826872300 is an abundant number, since it is smaller than the sum of its proper divisors (2046693780).

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

826872300 is a wasteful number, since it uses less digits than its factorization.

826872300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 826872300 is about 28755.3873213351. The cubic root of 826872300 is about 938.5976902462.

The spelling of 826872300 in words is "eight hundred twenty-six million, eight hundred seventy-two thousand, three hundred".