8876400 has 120 divisors (see below), whose sum is σ = 30675120. Its totient is φ = 2181120.

The previous prime is 8876393. The next prime is 8876419. The reversal of 8876400 is 46788.

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 10.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15316 + ... + 15884.

It is an arithmetic number, because the mean of its divisors is an integer number (255626).

Almost surely, 2^8876400 is an apocalyptic number.

8876400 is a gapful number since it is divisible by the number (80) 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 8876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337560).

8876400 is an abundant number, since it is smaller than the sum of its proper divisors (21798720).

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

8876400 is a wasteful number, since it uses less digits than its factorization.

8876400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 8876400 is about 2979.3287834678. The cubic root of 8876400 is about 207.0517735557.

The spelling of 8876400 in words is "eight million, eight hundred seventy-six thousand, four hundred".