826079320 has 128 divisors (see below), whose sum is σ = 2125025280. Its totient is φ = 286272000.

The previous prime is 826079311. The next prime is 826079327. The reversal of 826079320 is 23970628.

826079320 = T₁ + T₂ + ... + T₁₇₀₄.

826079320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

826079320 is a nontrivial binomial coefficient, being equal to C(1706, 3).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 826079320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826079327) by changing a digit.

It is the 1704-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968014 + ... + 968866.

It is an arithmetic number, because the mean of its divisors is an integer number (16601760).

Almost surely, 2^826079320 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 826079320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062512640).

826079320 is an abundant number, since it is smaller than the sum of its proper divisors (1298945960).

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

826079320 is a wasteful number, since it uses less digits than its factorization.

826079320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 826079320 is about 28741.5956411609. The cubic root of 826079320 is about 938.2975523045.

The spelling of 826079320 in words is "eight hundred twenty-six million, seventy-nine thousand, three hundred twenty".