789516 has 72 divisors (see below), whose sum is σ = 2466464. Its totient is φ = 207360.

The previous prime is 789511. The next prime is 789527. The reversal of 789516 is 615987.

789516 is nontrivially palindromic in base 16.

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

789516 is an undulating number in base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (789511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3156 + ... + 3396.

2⁷⁸⁹⁵¹⁶ 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 789516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233232).

789516 is an abundant number, since it is smaller than the sum of its proper divisors (1676948).

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

789516 is a wasteful number, since it uses less digits than its factorization.

789516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 266 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 789516 is about 888.5471287444. The cubic root of 789516 is about 92.4244720698.

The spelling of 789516 in words is "seven hundred eighty-nine thousand, five hundred sixteen".