820806960 has 80 divisors (see below), whose sum is σ = 2548479744. Its totient is φ = 218539776.

The previous prime is 820806949. The next prime is 820806979. The reversal of 820806960 is 69608028.

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

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, 176019 + ... + 180621.

Almost surely, 2^820806960 is an apocalyptic number.

820806960 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 820806960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274239872).

820806960 is an abundant number, since it is smaller than the sum of its proper divisors (1727672784).

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

820806960 is a wasteful number, since it uses less digits than its factorization.

820806960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5362 (or 5356 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 820806960 is about 28649.7287945279. The cubic root of 820806960 is about 936.2970968636.

The spelling of 820806960 in words is "eight hundred twenty million, eight hundred six thousand, nine hundred sixty".