876827952 has 540 divisors, whose sum is σ = 3421760160. Its totient is φ = 207567360.

The previous prime is 876827951. The next prime is 876827953. The reversal of 876827952 is 259728678.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (876827951) and next prime (876827953).

It is not an unprimeable number, because it can be changed into a prime (876827951) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11099049 + ... + 11099127.

Almost surely, 2^876827952 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 876827952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710880080).

876827952 is an abundant number, since it is smaller than the sum of its proper divisors (2544932208).

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

876827952 is a wasteful number, since it uses less digits than its factorization.

876827952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 876827952 is about 29611.2808233619. The cubic root of 876827952 is about 957.1311750433.

It can be divided in two parts, 876 and 827952, that added together give a palindrome (828828).

The spelling of 876827952 in words is "eight hundred seventy-six million, eight hundred twenty-seven thousand, nine hundred fifty-two".