826826000 has 480 divisors, whose sum is σ = 2778572160. Its totient is φ = 233856000.

The previous prime is 826825949. The next prime is 826826069. The reversal of 826826000 is 628628.

It is a happy number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 14013971 + ... + 14014029.

It is an arithmetic number, because the mean of its divisors is an integer number (5788692).

Almost surely, 2^826826000 is an apocalyptic number.

826826000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389286080).

826826000 is an abundant number, since it is smaller than the sum of its proper divisors (1951746160).

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

826826000 is a wasteful number, since it uses less digits than its factorization.

826826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 826826000 is about 28754.5822435312. The cubic root of 826826000 is about 938.5801712637.

The spelling of 826826000 in words is "eight hundred twenty-six million, eight hundred twenty-six thousand".