820485965760 has 112 divisors (see below), whose sum is σ = 2607046181376. Its totient is φ = 218628006912.

The previous prime is 820485965759. The next prime is 820485965771. The reversal of 820485965760 is 67569584028.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 820485965694 and 820485965703.

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, 922917 + ... + 1578843.

It is an arithmetic number, because the mean of its divisors is an integer number (23277198048).

Almost surely, 2^820485965760 is an apocalyptic number.

820485965760 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 820485965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303523090688).

820485965760 is an abundant number, since it is smaller than the sum of its proper divisors (1786560215616).

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

820485965760 is a wasteful number, since it uses less digits than its factorization.

820485965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657250 (or 657240 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 820485965760 in words is "eight hundred twenty billion, four hundred eighty-five million, nine hundred sixty-five thousand, seven hundred sixty".