820072512 has 308 divisors, whose sum is σ = 2879685376. Its totient is φ = 226748160.

The previous prime is 820072511. The next prime is 820072531. The reversal of 820072512 is 215270028.

820072512 is a `hidden beast` number, since 82 + 0 + 0 + 72 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (820072511) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 26453937 + ... + 26453967.

Almost surely, 2^820072512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439842688).

820072512 is an abundant number, since it is smaller than the sum of its proper divisors (2059612864).

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

820072512 is an frugal number, since it uses more digits than its factorization.

820072512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 820072512 is about 28636.9082130037. The cubic root of 820072512 is about 936.0177511426.

The spelling of 820072512 in words is "eight hundred twenty million, seventy-two thousand, five hundred twelve".