8880096800 has 36 divisors (see below), whose sum is σ = 21678538266. Its totient is φ = 3552038400.

The previous prime is 8880096791. The next prime is 8880096803. The reversal of 8880096800 is 86900888.

It can be written as a sum of positive squares in 3 ways, for example, as 6940222864 + 1939873936 = 83308^2 + 44044^2 .

It is a super-2 number, since 2×8880096800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8880096803) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5549261 + ... + 5550860.

Almost surely, 2^8880096800 is an apocalyptic number.

8880096800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8880096800 is an abundant number, since it is smaller than the sum of its proper divisors (12798441466).

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

8880096800 is a wasteful number, since it uses less digits than its factorization.

8880096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100141 (or 11100128 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The square root of 8880096800 is about 94234.2655301138. The cubic root of 8880096800 is about 2070.8051353893.

The spelling of 8880096800 in words is "eight billion, eight hundred eighty million, ninety-six thousand, eight hundred".