826872000 has 224 divisors, whose sum is σ = 2761634304. Its totient is φ = 217984000.

The previous prime is 826871999. The next prime is 826872017. The reversal of 826872000 is 278628.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3143869 + ... + 3144131.

Almost surely, 2^826872000 is an apocalyptic number.

826872000 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 826872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380817152).

826872000 is an abundant number, since it is smaller than the sum of its proper divisors (1934762304).

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

826872000 is a wasteful number, since it uses less digits than its factorization.

826872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 826872000 is about 28755.3821049208. The cubic root of 826872000 is about 938.5975767344.

The spelling of 826872000 in words is "eight hundred twenty-six million, eight hundred seventy-two thousand".