8880350400 has 252 divisors, whose sum is σ = 31670393352. Its totient is φ = 2360033280.

The previous prime is 8880350399. The next prime is 8880350431. The reversal of 8880350400 is 40530888.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 5082327 + ... + 5084073.

Almost surely, 2^8880350400 is an apocalyptic number.

8880350400 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 8880350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15835196676).

8880350400 is an abundant number, since it is smaller than the sum of its proper divisors (22790042952).

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

8880350400 is a wasteful number, since it uses less digits than its factorization.

8880350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8880350400 is about 94235.6111032342. The cubic root of 8880350400 is about 2070.8248480567.

The spelling of 8880350400 in words is "eight billion, eight hundred eighty million, three hundred fifty thousand, four hundred".