820101376 has 36 divisors (see below), whose sum is σ = 1643222700. Its totient is φ = 408492032.

The previous prime is 820101367. The next prime is 820101377. The reversal of 820101376 is 673101028.

It can be written as a sum of positive squares in 2 ways, for example, as 148254976 + 671846400 = 12176^2 + 25920^2 .

It is not an unprimeable number, because it can be changed into a prime (820101377) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62910 + ... + 74818.

It is an arithmetic number, because the mean of its divisors is an integer number (45645075).

Almost surely, 2^820101376 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 820101376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821611350).

820101376 is an abundant number, since it is smaller than the sum of its proper divisors (823121324).

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

820101376 is a wasteful number, since it uses less digits than its factorization.

820101376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12194 (or 12180 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 820101376 is about 28637.4121735886. The cubic root of 820101376 is about 936.0287326510.

The spelling of 820101376 in words is "eight hundred twenty million, one hundred one thousand, three hundred seventy-six".