826200000 has 504 divisors, whose sum is σ = 3250198224. Its totient is φ = 207360000.

The previous prime is 826199993. The next prime is 826200029. The reversal of 826200000 is 2628.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48599992 + ... + 48600008.

It is an arithmetic number, because the mean of its divisors is an integer number (6448806).

Almost surely, 2^826200000 is an apocalyptic number.

826200000 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 826200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625099112).

826200000 is an abundant number, since it is smaller than the sum of its proper divisors (2423998224).

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

826200000 is an frugal number, since it uses more digits than its factorization.

826200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 826200000 is about 28743.6949608084. The cubic root of 826200000 is about 938.3432413130.

Adding to 826200000 its reverse (2628), we get a palindrome (826202628).

The spelling of 826200000 in words is "eight hundred twenty-six million, two hundred thousand".