820012837760 has 128 divisors (see below), whose sum is σ = 2078604633600. Its totient is φ = 308272398336.

The previous prime is 820012837757. The next prime is 820012837769. The reversal of 820012837760 is 67738210028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820012837769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7660769 + ... + 7767071.

It is an arithmetic number, because the mean of its divisors is an integer number (16239098700).

Almost surely, 2^820012837760 is an apocalyptic number.

820012837760 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 820012837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039302316800).

820012837760 is an abundant number, since it is smaller than the sum of its proper divisors (1258591795840).

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

820012837760 is a wasteful number, since it uses less digits than its factorization.

820012837760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107048 (or 107036 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 820012837760 in words is "eight hundred twenty billion, twelve million, eight hundred thirty-seven thousand, seven hundred sixty".