871278672 has 80 divisors (see below), whose sum is σ = 2483144640. Its totient is φ = 261043200.

The previous prime is 871278671. The next prime is 871278691. The reversal of 871278672 is 276872178.

It is a happy number.

871278672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871278671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37722 + ... + 56262.

It is an arithmetic number, because the mean of its divisors is an integer number (31039308).

Almost surely, 2^871278672 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 871278672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241572320).

871278672 is an abundant number, since it is smaller than the sum of its proper divisors (1611865968).

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

871278672 is a wasteful number, since it uses less digits than its factorization.

871278672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18652 (or 18646 counting only the distinct ones).

The product of its digits is 526848, while the sum is 48.

The square root of 871278672 is about 29517.4299694265. The cubic root of 871278672 is about 955.1077323344.

The spelling of 871278672 in words is "eight hundred seventy-one million, two hundred seventy-eight thousand, six hundred seventy-two".