820368180 has 144 divisors (see below), whose sum is σ = 2579850000. Its totient is φ = 210862080.

The previous prime is 820368169. The next prime is 820368191. The reversal of 820368180 is 81863028.

820368180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (820368169) and next prime (820368191).

It can be written as a sum of positive squares in 8 ways, for example, as 234824976 + 585543204 = 15324^2 + 24198^2 .

It is a super-3 number, since 3×820368180³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656196 + ... + 657444.

It is an arithmetic number, because the mean of its divisors is an integer number (17915625).

Almost surely, 2^820368180 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 820368180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289925000).

820368180 is an abundant number, since it is smaller than the sum of its proper divisors (1759481820).

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

820368180 is a wasteful number, since it uses less digits than its factorization.

820368180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 820368180 is about 28642.0701067503. The cubic root of 820368180 is about 936.1302278807.

The spelling of 820368180 in words is "eight hundred twenty million, three hundred sixty-eight thousand, one hundred eighty".