820127260 has 96 divisors (see below), whose sum is σ = 1868977152. Its totient is φ = 301178880.

The previous prime is 820127207. The next prime is 820127263. The reversal of 820127260 is 62721028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820127263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4293765 + ... + 4293955.

It is an arithmetic number, because the mean of its divisors is an integer number (19468512).

Almost surely, 2^820127260 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 820127260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934488576).

820127260 is an abundant number, since it is smaller than the sum of its proper divisors (1048849892).

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

820127260 is a wasteful number, since it uses less digits than its factorization.

820127260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 820127260 is about 28637.8640963323. The cubic root of 820127260 is about 936.0385801786.

Adding to 820127260 its reverse (62721028), we get a palindrome (882848288).

The spelling of 820127260 in words is "eight hundred twenty million, one hundred twenty-seven thousand, two hundred sixty".