826800000 has 384 divisors, whose sum is σ = 3011994720. Its totient is φ = 199680000.

The previous prime is 826799993. The next prime is 826800011. The reversal of 826800000 is 8628.

826800000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 15599974 + ... + 15600026.

Almost surely, 2^826800000 is an apocalyptic number.

826800000 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 826800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505997360).

826800000 is an abundant number, since it is smaller than the sum of its proper divisors (2185194720).

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

826800000 is an equidigital number, since it uses as much as digits as its factorization.

826800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 826800000 is about 28754.1301381210. The cubic root of 826800000 is about 938.5703331034.

Adding to 826800000 its reverse (8628), we get a palindrome (826808628).

The spelling of 826800000 in words is "eight hundred twenty-six million, eight hundred thousand".