820971045760 has 128 divisors (see below), whose sum is σ = 2026935187200. Its totient is φ = 317639884800.

The previous prime is 820971045721. The next prime is 820971045779. The reversal of 820971045760 is 67540179028.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45801600 + ... + 45819520.

It is an arithmetic number, because the mean of its divisors is an integer number (15835431150).

Almost surely, 2^820971045760 is an apocalyptic number.

820971045760 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 820971045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013467593600).

820971045760 is an abundant number, since it is smaller than the sum of its proper divisors (1205964141440).

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

820971045760 is a wasteful number, since it uses less digits than its factorization.

820971045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20280 (or 20268 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 820971045760 in words is "eight hundred twenty billion, nine hundred seventy-one million, forty-five thousand, seven hundred sixty".