8867512800 has 1152 divisors, whose sum is σ = 37797580800. Its totient is φ = 1990656000.

The previous prime is 8867512777. The next prime is 8867512883. The reversal of 8867512800 is 82157688.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 216280780 + ... + 216280820.

It is an arithmetic number, because the mean of its divisors is an integer number (32810400).

Almost surely, 2^8867512800 is an apocalyptic number.

8867512800 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 8867512800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18898790400).

8867512800 is an abundant number, since it is smaller than the sum of its proper divisors (28930068000).

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

8867512800 is a wasteful number, since it uses less digits than its factorization.

8867512800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 8867512800 is about 94167.4720909508. The cubic root of 8867512800 is about 2069.8264924933.

It can be divided in two parts, 88675 and 12800, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 8867512800 in words is "eight billion, eight hundred sixty-seven million, five hundred twelve thousand, eight hundred".