826272000 has 432 divisors, whose sum is σ = 3150376320. Its totient is φ = 207360000.

The previous prime is 826271989. The next prime is 826272001. The reversal of 826272000 is 272628.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (826272001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5471925 + ... + 5472075.

Almost surely, 2^826272000 is an apocalyptic number.

826272000 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 826272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575188160).

826272000 is an abundant number, since it is smaller than the sum of its proper divisors (2324104320).

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

826272000 is a wasteful number, since it uses less digits than its factorization.

826272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 826272000 is about 28744.9473821053. The cubic root of 826272000 is about 938.3704981317.

The spelling of 826272000 in words is "eight hundred twenty-six million, two hundred seventy-two thousand".