820907638280 has 32 divisors (see below), whose sum is σ = 1847688940440. Its totient is φ = 328248076800.

The previous prime is 820907638273. The next prime is 820907638301. The reversal of 820907638280 is 82836709028.

820907638280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 806594387236 + 14313251044 = 898106^2 + 119638^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3477371 + ... + 3705930.

Almost surely, 2^820907638280 is an apocalyptic number.

It is an amenable number.

820907638280 is an abundant number, since it is smaller than the sum of its proper divisors (1026781302160).

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

820907638280 is a wasteful number, since it uses less digits than its factorization.

820907638280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7186169 (or 7186165 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 820907638280 in words is "eight hundred twenty billion, nine hundred seven million, six hundred thirty-eight thousand, two hundred eighty".