838072305 has 128 divisors (see below), whose sum is σ = 1797811200. Its totient is φ = 362299392.

The previous prime is 838072289. The next prime is 838072343. The reversal of 838072305 is 503270838.

It is not a de Polignac number, because 838072305 - 2⁴ = 838072289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 838072305.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1452177 + ... + 1452753.

It is an arithmetic number, because the mean of its divisors is an integer number (14045400).

Almost surely, 2^838072305 is an apocalyptic number.

It is an amenable number.

838072305 is an abundant number, since it is smaller than the sum of its proper divisors (959738895).

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

838072305 is a wasteful number, since it uses less digits than its factorization.

838072305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 838072305 is about 28949.4784927121. The cubic root of 838072305 is about 942.8164753711.

The spelling of 838072305 in words is "eight hundred thirty-eight million, seventy-two thousand, three hundred five".