8876260800 has 336 divisors, whose sum is σ = 35300716800. Its totient is φ = 2151705600.

The previous prime is 8876260793. The next prime is 8876260831. The reversal of 8876260800 is 80626788.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465861 + ... + 484539.

Almost surely, 2^8876260800 is an apocalyptic number.

8876260800 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 8876260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17650358400).

8876260800 is an abundant number, since it is smaller than the sum of its proper divisors (26424456000).

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

8876260800 is a wasteful number, since it uses less digits than its factorization.

8876260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18721 (or 18700 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8876260800 is about 94213.9098010480. The cubic root of 8876260800 is about 2070.5069121915.

The spelling of 8876260800 in words is "eight billion, eight hundred seventy-six million, two hundred sixty thousand, eight hundred".