789480 has 128 divisors (see below), whose sum is σ = 2851200. Its totient is φ = 193536.

The previous prime is 789473. The next prime is 789491. The reversal of 789480 is 84987.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a zygodrome in base 3.

It is an unprimeable number.

789480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18339 + ... + 18381.

It is an arithmetic number, because the mean of its divisors is an integer number (22275).

2⁷⁸⁹⁴⁸⁰ 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 789480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425600).

789480 is an abundant number, since it is smaller than the sum of its proper divisors (2061720).

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

789480 is a wasteful number, since it uses less digits than its factorization.

789480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 789480 is about 888.5268707248. The cubic root of 789480 is about 92.4230672717.

The spelling of 789480 in words is "seven hundred eighty-nine thousand, four hundred eighty".