826812000 has 576 divisors, whose sum is σ = 3569215104. Its totient is φ = 176947200.

The previous prime is 826811989. The next prime is 826812013. The reversal of 826812000 is 218628.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4283904 + ... + 4284096.

It is an arithmetic number, because the mean of its divisors is an integer number (6196554).

Almost surely, 2^826812000 is an apocalyptic number.

826812000 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 826812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784607552).

826812000 is an abundant number, since it is smaller than the sum of its proper divisors (2742403104).

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

826812000 is a wasteful number, since it uses less digits than its factorization.

826812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 826812000 is about 28754.3388030398. The cubic root of 826812000 is about 938.5748738184.

It can be divided in two parts, 82681 and 2000, that added together give a square (84681 = 291²).

The spelling of 826812000 in words is "eight hundred twenty-six million, eight hundred twelve thousand".