880069134400 has 189 divisors, whose sum is σ = 2217018231309. Its totient is φ = 343847247360.

The previous prime is 880069134349. The next prime is 880069134403. The reversal of 880069134400 is 4431960088.

The square root of 880069134400 is 938120.

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., 316824888384 + 563244246016 = 562872^2 + 750496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (880069134403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1763665351 + ... + 1763665849.

Almost surely, 2^880069134400 is an apocalyptic number.

880069134400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

880069134400 is the 938120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880069134400

880069134400 is an abundant number, since it is smaller than the sum of its proper divisors (1336949096909).

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

880069134400 is an frugal number, since it uses more digits than its factorization.

880069134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 880069134400 in words is "eight hundred eighty billion, sixty-nine million, one hundred thirty-four thousand, four hundred".