289879776 has 96 divisors (see below), whose sum is σ = 851266080. Its totient is φ = 95966208.

The previous prime is 289879771. The next prime is 289879781. The reversal of 289879776 is 677978982.

It is an interprime number because it is at equal distance from previous prime (289879771) and next prime (289879781).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289879771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134580 + ... + 136716.

It is an arithmetic number, because the mean of its divisors is an integer number (8867355).

Almost surely, 2^289879776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289879776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425633040).

289879776 is an abundant number, since it is smaller than the sum of its proper divisors (561386304).

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

289879776 is a wasteful number, since it uses less digits than its factorization.

289879776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2299 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 63.

The square root of 289879776 is about 17025.8561018235. The cubic root of 289879776 is about 661.8191137238.

The spelling of 289879776 in words is "two hundred eighty-nine million, eight hundred seventy-nine thousand, seven hundred seventy-six".