827110000 has 100 divisors (see below), whose sum is σ = 2023845912. Its totient is φ = 327328000.

The previous prime is 827109973. The next prime is 827110003. The reversal of 827110000 is 11728.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×827110000² = 1368221904200000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 827110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1069614 + ... + 1070386.

Almost surely, 2^827110000 is an apocalyptic number.

827110000 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 827110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011922956).

827110000 is an abundant number, since it is smaller than the sum of its proper divisors (1196735912).

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

827110000 is a wasteful number, since it uses less digits than its factorization.

827110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 827110000 is about 28759.5201628956. The cubic root of 827110000 is about 938.6876208179.

Adding to 827110000 its reverse (11728), we get a palindrome (827121728).

The spelling of 827110000 in words is "eight hundred twenty-seven million, one hundred ten thousand".