826082000 has 80 divisors (see below), whose sum is σ = 2102692800. Its totient is φ = 313027200.

The previous prime is 826081999. The next prime is 826082021. The reversal of 826082000 is 280628.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×826082000² = 1364822941448000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27131 + ... + 48869.

It is an arithmetic number, because the mean of its divisors is an integer number (26283660).

Almost surely, 2^826082000 is an apocalyptic number.

826082000 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 826082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051346400).

826082000 is an abundant number, since it is smaller than the sum of its proper divisors (1276610800).

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

826082000 is a wasteful number, since it uses less digits than its factorization.

826082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21781 (or 21765 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 826082000 is about 28741.6422634476. The cubic root of 826082000 is about 938.2985669911.

The spelling of 826082000 in words is "eight hundred twenty-six million, eighty-two thousand".