876392832 has 192 divisors, whose sum is σ = 2768394240. Its totient is φ = 244823040.

The previous prime is 876392827. The next prime is 876392833. The reversal of 876392832 is 238293678.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 (876392833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 883857 + ... + 884847.

It is an arithmetic number, because the mean of its divisors is an integer number (14418720).

Almost surely, 2^876392832 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 876392832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384197120).

876392832 is an abundant number, since it is smaller than the sum of its proper divisors (1892001408).

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

876392832 is a wasteful number, since it uses less digits than its factorization.

876392832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1050 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 876392832 is about 29603.9327117192. The cubic root of 876392832 is about 956.9728255349.

The spelling of 876392832 in words is "eight hundred seventy-six million, three hundred ninety-two thousand, eight hundred thirty-two".