820270080 has 264 divisors, whose sum is σ = 3249522432. Its totient is φ = 187416576.

The previous prime is 820270063. The next prime is 820270081. The reversal of 820270080 is 80072028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820270081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321289 + ... + 323831.

Almost surely, 2^820270080 is an apocalyptic number.

820270080 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 820270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624761216).

820270080 is an abundant number, since it is smaller than the sum of its proper divisors (2429252352).

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

820270080 is a wasteful number, since it uses less digits than its factorization.

820270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 820270080 is about 28640.3575396677. The cubic root of 820270080 is about 936.0929121005.

The spelling of 820270080 in words is "eight hundred twenty million, two hundred seventy thousand, eighty".