826479360 has 432 divisors, whose sum is σ = 3368479296. Its totient is φ = 183140352.

The previous prime is 826479343. The next prime is 826479373. The reversal of 826479360 is 63974628.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2983542 + ... + 2983818.

Almost surely, 2^826479360 is an apocalyptic number.

826479360 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 826479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684239648).

826479360 is an abundant number, since it is smaller than the sum of its proper divisors (2541999936).

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

826479360 is a wasteful number, since it uses less digits than its factorization.

826479360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 826479360 is about 28748.5540505953. The cubic root of 826479360 is about 938.4489889239.

The spelling of 826479360 in words is "eight hundred twenty-six million, four hundred seventy-nine thousand, three hundred sixty".