789609600 has 768 divisors, whose sum is σ = 3364368000. Its totient is φ = 179159040.

The previous prime is 789609589. The next prime is 789609607. The reversal of 789609600 is 6906987.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (789609607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21340782 + ... + 21340818.

Almost surely, 2^789609600 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 789609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682184000).

789609600 is an abundant number, since it is smaller than the sum of its proper divisors (2574758400).

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

789609600 is a wasteful number, since it uses less digits than its factorization.

789609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 789609600 is about 28099.9928825614. The cubic root of 789609600 is about 924.2812434481.

Adding to 789609600 its product of nonzero digits (163296), we get a triangular number (789772896 = T₃₉₇₄₃).

The spelling of 789609600 in words is "seven hundred eighty-nine million, six hundred nine thousand, six hundred".