880181120 has 384 divisors, whose sum is σ = 2813045760. Its totient is φ = 260112384.

The previous prime is 880181119. The next prime is 880181129. The reversal of 880181120 is 21181088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880181129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6930497 + ... + 6930623.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^880181120 is an apocalyptic number.

880181120 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 880181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406522880).

880181120 is an abundant number, since it is smaller than the sum of its proper divisors (1932864640).

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

880181120 is a wasteful number, since it uses less digits than its factorization.

880181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 29.

The square root of 880181120 is about 29667.8465682968. The cubic root of 880181120 is about 958.3497109909.

The spelling of 880181120 in words is "eight hundred eighty million, one hundred eighty-one thousand, one hundred twenty".