826709920 has 48 divisors (see below), whose sum is σ = 1965146400. Its totient is φ = 328644864.

The previous prime is 826709911. The next prime is 826709941. The reversal of 826709920 is 29907628.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 10231 + ... + 41929.

It is an arithmetic number, because the mean of its divisors is an integer number (40940550).

Almost surely, 2^826709920 is an apocalyptic number.

826709920 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 826709920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982573200).

826709920 is an abundant number, since it is smaller than the sum of its proper divisors (1138436480).

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

826709920 is a wasteful number, since it uses less digits than its factorization.

826709920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31877 (or 31869 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 826709920 is about 28752.5637117806. The cubic root of 826709920 is about 938.5362460665.

The spelling of 826709920 in words is "eight hundred twenty-six million, seven hundred nine thousand, nine hundred twenty".