826991800 has 48 divisors (see below), whose sum is σ = 1932912000. Its totient is φ = 329049600.

The previous prime is 826991797. The next prime is 826991821. The reversal of 826991800 is 8199628.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27376 + ... + 49024.

It is an arithmetic number, because the mean of its divisors is an integer number (40269000).

Almost surely, 2^826991800 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 826991800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966456000).

826991800 is an abundant number, since it is smaller than the sum of its proper divisors (1105920200).

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

826991800 is a wasteful number, since it uses less digits than its factorization.

826991800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21856 (or 21847 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 826991800 is about 28757.4651177742. The cubic root of 826991800 is about 938.6429036047.

The spelling of 826991800 in words is "eight hundred twenty-six million, nine hundred ninety-one thousand, eight hundred".