8700876800 has 288 divisors, whose sum is σ = 26908277760. Its totient is φ = 2710732800.

The previous prime is 8700876773. The next prime is 8700876841. The reversal of 8700876800 is 86780078.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 3941297 + ... + 3943503.

It is an arithmetic number, because the mean of its divisors is an integer number (93431520).

Almost surely, 2^8700876800 is an apocalyptic number.

8700876800 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 8700876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13454138880).

8700876800 is an abundant number, since it is smaller than the sum of its proper divisors (18207400960).

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

8700876800 is a wasteful number, since it uses less digits than its factorization.

8700876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 44.

The square root of 8700876800 is about 93278.4905538249. The cubic root of 8700876800 is about 2056.7792067367.

It can be divided in two parts, 8 and 700876800, that multiplied together give a square (5607014400 = 74880²).

The spelling of 8700876800 in words is "eight billion, seven hundred million, eight hundred seventy-six thousand, eight hundred".