8767866400 has 144 divisors (see below), whose sum is σ = 22636551168. Its totient is φ = 3310848000.

The previous prime is 8767866391. The next prime is 8767866421. The reversal of 8767866400 is 46687678.

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, 1012489 + ... + 1021111.

It is an arithmetic number, because the mean of its divisors is an integer number (157198272).

Almost surely, 2^8767866400 is an apocalyptic number.

8767866400 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 8767866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11318275584).

8767866400 is an abundant number, since it is smaller than the sum of its proper divisors (13868684768).

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

8767866400 is a wasteful number, since it uses less digits than its factorization.

8767866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8715 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The square root of 8767866400 is about 93636.8858943953. The cubic root of 8767866400 is about 2062.0442208058.

The spelling of 8767866400 in words is "eight billion, seven hundred sixty-seven million, eight hundred sixty-six thousand, four hundred".