827266500 has 192 divisors, whose sum is σ = 2698375680. Its totient is φ = 218822400.

The previous prime is 827266469. The next prime is 827266501. The reversal of 827266500 is 5662728.

827266500 is a `hidden beast` number, since 82 + 72 + 6 + 6 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (827266501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3145369 + ... + 3145631.

It is an arithmetic number, because the mean of its divisors is an integer number (14054040).

Almost surely, 2^827266500 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 827266500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349187840).

827266500 is an abundant number, since it is smaller than the sum of its proper divisors (1871109180).

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

827266500 is a wasteful number, since it uses less digits than its factorization.

827266500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 827266500 is about 28762.2408723660. The cubic root of 827266500 is about 938.7468210646.

The spelling of 827266500 in words is "eight hundred twenty-seven million, two hundred sixty-six thousand, five hundred".