820910080 has 48 divisors (see below), whose sum is σ = 1969727760. Its totient is φ = 328359936.

The previous prime is 820910071. The next prime is 820910087. The reversal of 820910080 is 80019028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820910087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29844 + ... + 50323.

It is an arithmetic number, because the mean of its divisors is an integer number (41035995).

Almost surely, 2^820910080 is an apocalyptic number.

820910080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820910080 is an abundant number, since it is smaller than the sum of its proper divisors (1148817680).

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

820910080 is an equidigital number, since it uses as much as digits as its factorization.

820910080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80194 (or 80174 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 820910080 is about 28651.5284060031. The cubic root of 820910080 is about 936.3363049918.

The spelling of 820910080 in words is "eight hundred twenty million, nine hundred ten thousand, eighty".