8882068878400 has 63 divisors (see below), whose sum is σ = 21855734071909. Its totient is φ = 3552779866880.

The previous prime is 8882068878377. The next prime is 8882068878433. The reversal of 8882068878400 is 48788602888.

The square root of 8882068878400 is 2980280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3197544796224 + 5684524082176 = 1788168^2 + 2384224^2 .

It is a super-2 number, since 2×8882068878400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 119173947 + ... + 119248453.

Almost surely, 2^{8882068878400} is an apocalyptic number.

8882068878400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8882068878400 is the 2980280-th square number.

It is an amenable number.

8882068878400 is an abundant number, since it is smaller than the sum of its proper divisors (12973665193509).

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

8882068878400 is an frugal number, since it uses more digits than its factorization.

8882068878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149036 (or 74514 counting only the distinct ones).

The product of its (nonzero) digits is 88080384, while the sum is 67.

The spelling of 8882068878400 in words is "eight trillion, eight hundred eighty-two billion, sixty-eight million, eight hundred seventy-eight thousand, four hundred".