8876900 has 36 divisors (see below), whose sum is σ = 19933620. Its totient is φ = 3427200.

The previous prime is 8876899. The next prime is 8876911. The reversal of 8876900 is 96788.

8876900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 209764 + 8667136 = 458^2 + 2944^2 .

It is a super-2 number, since 2×8876900² = 157598707220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1370 + ... + 4430.

Almost surely, 2^8876900 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 8876900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9966810).

8876900 is an abundant number, since it is smaller than the sum of its proper divisors (11056720).

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

8876900 is a wasteful number, since it uses less digits than its factorization.

8876900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 8876900 is about 2979.4126938039. The cubic root of 8876900 is about 207.0556611657.

The spelling of 8876900 in words is "eight million, eight hundred seventy-six thousand, nine hundred".