826000000 has 224 divisors, whose sum is σ = 2390594400. Its totient is φ = 278400000.

The previous prime is 825999997. The next prime is 826000003. The reversal of 826000000 is 628.

It is an interprime number because it is at equal distance from previous prime (825999997) and next prime (826000003).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (826000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13999971 + ... + 14000029.

Almost surely, 2^826000000 is an apocalyptic number.

826000000 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 826000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195297200).

826000000 is an abundant number, since it is smaller than the sum of its proper divisors (1564594400).

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

826000000 is an frugal number, since it uses more digits than its factorization.

826000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 826000000 is about 28740.2157263998. The cubic root of 826000000 is about 938.2675196179.

Adding to 826000000 its reverse (628), we get a palindrome (826000628).

The spelling of 826000000 in words is "eight hundred twenty-six million", and thus it is an aban number.