801272108 has 72 divisors (see below), whose sum is σ = 1768706352. Its totient is φ = 314810496.

The previous prime is 801272099. The next prime is 801272167.

801272108 is nontrivially palindromic in base 10.

801272108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×801272108³ (a number of 28 digits) contains 333 as substring.

801272108 is a modest number, since divided by 72108 gives 8012 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399035 + ... + 401037.

It is an arithmetic number, because the mean of its divisors is an integer number (24565366).

Almost surely, 2^801272108 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 801272108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884353176).

801272108 is an abundant number, since it is smaller than the sum of its proper divisors (967434244).

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

801272108 is a wasteful number, since it uses less digits than its factorization.

801272108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 801272108 is about 28306.7502196914. The cubic root of 801272108 is about 928.8095563346.

It can be divided in two parts, 8012 and 72108, that multiplied together give a square (577729296 = 24036²).

The spelling of 801272108 in words is "eight hundred one million, two hundred seventy-two thousand, one hundred eight".