119082880 has 128 divisors (see below), whose sum is σ = 342720000. Its totient is φ = 38651904.

The previous prime is 119082871. The next prime is 119082881. The reversal of 119082880 is 88280911.

It is a tau number, because it is divible by the number of its divisors (128).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 119082880 = 153³ + 487³ = 316³ + 444³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119082881) 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 15 ways as a sum of consecutive naturals, for example, 84421 + ... + 85819.

It is an arithmetic number, because the mean of its divisors is an integer number (2677500).

Almost surely, 2^119082880 is an apocalyptic number.

119082880 is a gapful number since it is divisible by the number (10) 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 119082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171360000).

119082880 is an abundant number, since it is smaller than the sum of its proper divisors (223637120).

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

119082880 is a wasteful number, since it uses less digits than its factorization.

119082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The square root of 119082880 is about 10912.5102519998. The cubic root of 119082880 is about 491.9826375877.

The spelling of 119082880 in words is "one hundred nineteen million, eighty-two thousand, eight hundred eighty".