871377408 has 120 divisors (see below), whose sum is σ = 2743636896. Its totient is φ = 264038400.

The previous prime is 871377407. The next prime is 871377473. The reversal of 871377408 is 804773178.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (871377407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42093 + ... + 59283.

Almost surely, 2^871377408 is an apocalyptic number.

871377408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871377408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371818448).

871377408 is an abundant number, since it is smaller than the sum of its proper divisors (1872259488).

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

871377408 is a wasteful number, since it uses less digits than its factorization.

871377408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17226 (or 17207 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 871377408 is about 29519.1024253787. The cubic root of 871377408 is about 955.1438095613.

The spelling of 871377408 in words is "eight hundred seventy-one million, three hundred seventy-seven thousand, four hundred eight".