827026200 has 1152 divisors, whose sum is σ = 4094737920. Its totient is φ = 149299200.

The previous prime is 827026199. The next prime is 827026201. The reversal of 827026200 is 2620728.

It is an interprime number because it is at equal distance from previous prime (827026199) and next prime (827026201).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827026201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48648592 + ... + 48648608.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^827026200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827026200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047368960).

827026200 is an abundant number, since it is smaller than the sum of its proper divisors (3267711720).

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

827026200 is a wasteful number, since it uses less digits than its factorization.

827026200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 827026200 is about 28758.0632171223. The cubic root of 827026200 is about 938.6559181909.

Adding to 827026200 its reverse (2620728), we get a palindrome (829646928).

The spelling of 827026200 in words is "eight hundred twenty-seven million, twenty-six thousand, two hundred".