827260100 has 36 divisors (see below), whose sum is σ = 1796424084. Its totient is φ = 330670080.

The previous prime is 827260099. The next prime is 827260111. The reversal of 827260100 is 1062728.

It can be written as a sum of positive squares in 6 ways, for example, as 421398784 + 405861316 = 20528^2 + 20146^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 827260100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237572 + ... + 241028.

It is an arithmetic number, because the mean of its divisors is an integer number (49900669).

Almost surely, 2^827260100 is an apocalyptic number.

It is an amenable number.

827260100 is an abundant number, since it is smaller than the sum of its proper divisors (969163984).

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

827260100 is a wasteful number, since it uses less digits than its factorization.

827260100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 827260100 is about 28762.1296151728. The cubic root of 827260100 is about 938.7444002425.

The spelling of 827260100 in words is "eight hundred twenty-seven million, two hundred sixty thousand, one hundred".