890344080 has 120 divisors (see below), whose sum is σ = 3093250680. Its totient is φ = 229232640.

The previous prime is 890344079. The next prime is 890344093. The reversal of 890344080 is 80443098.

It can be written as a sum of positive squares in 4 ways, for example, as 139145616 + 751198464 = 11796^2 + 27408^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441 + ... + 42200.

It is an arithmetic number, because the mean of its divisors is an integer number (25777089).

Almost surely, 2^890344080 is an apocalyptic number.

890344080 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 890344080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546625340).

890344080 is an abundant number, since it is smaller than the sum of its proper divisors (2202906600).

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

890344080 is a wasteful number, since it uses less digits than its factorization.

890344080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42689 (or 42680 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 890344080 is about 29838.6340169921. The cubic root of 890344080 is about 962.0241146670.

The spelling of 890344080 in words is "eight hundred ninety million, three hundred forty-four thousand, eighty".