876129408 has 576 divisors, whose sum is σ = 3428399520. Its totient is φ = 211599360.

The previous prime is 876129389. The next prime is 876129413. The reversal of 876129408 is 804921678.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 10555735 + ... + 10555817.

Almost surely, 2^876129408 is an apocalyptic number.

876129408 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 876129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714199760).

876129408 is an abundant number, since it is smaller than the sum of its proper divisors (2552270112).

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

876129408 is a wasteful number, since it uses less digits than its factorization.

876129408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 876129408 is about 29599.4832387324. The cubic root of 876129408 is about 956.8769344147.

It can be divided in two parts, 87612 and 9408, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 876129408 in words is "eight hundred seventy-six million, one hundred twenty-nine thousand, four hundred eight".