820265120 has 24 divisors (see below), whose sum is σ = 1937876724. Its totient is φ = 328105984.

The previous prime is 820265111. The next prime is 820265129. The reversal of 820265120 is 21562028.

It is an interprime number because it is at equal distance from previous prime (820265111) and next prime (820265129).

It can be written as a sum of positive squares in 2 ways, for example, as 744853264 + 75411856 = 27292^2 + 8684^2 .

It is a super-2 number, since 2×820265120² = 1345669734177228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 820265120.

It is not an unprimeable number, because it can be changed into a prime (820265129) 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, 2563169 + ... + 2563488.

Almost surely, 2^820265120 is an apocalyptic number.

820265120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820265120 is an abundant number, since it is smaller than the sum of its proper divisors (1117611604).

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

820265120 is a wasteful number, since it uses less digits than its factorization.

820265120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126672 (or 5126664 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 820265120 is about 28640.2709484390. The cubic root of 820265120 is about 936.0910253113.

The spelling of 820265120 in words is "eight hundred twenty million, two hundred sixty-five thousand, one hundred twenty".