826106800 has 30 divisors (see below), whose sum is σ = 1984722548. Its totient is φ = 330442560.

The previous prime is 826106791. The next prime is 826106837. The reversal of 826106800 is 8601628.

826106800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1032234 + ... + 1033033.

Almost surely, 2^826106800 is an apocalyptic number.

826106800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

826106800 is an abundant number, since it is smaller than the sum of its proper divisors (1158615748).

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

826106800 is a wasteful number, since it uses less digits than its factorization.

826106800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065285 (or 2065274 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 826106800 is about 28742.0736899758. The cubic root of 826106800 is about 938.3079565237.

The spelling of 826106800 in words is "eight hundred twenty-six million, one hundred six thousand, eight hundred".