820746160 has 80 divisors (see below), whose sum is σ = 2102927904. Its totient is φ = 295981056.

The previous prime is 820746151. The next prime is 820746161. The reversal of 820746160 is 61647028.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (820746161) 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, 35544 + ... + 53896.

Almost surely, 2^820746160 is an apocalyptic number.

820746160 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 820746160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051463952).

820746160 is an abundant number, since it is smaller than the sum of its proper divisors (1282181744).

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

820746160 is a wasteful number, since it uses less digits than its factorization.

820746160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18422 (or 18416 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 820746160 is about 28648.6676828086. The cubic root of 820746160 is about 936.2739780419.

The spelling of 820746160 in words is "eight hundred twenty million, seven hundred forty-six thousand, one hundred sixty".