789984360 has 256 divisors, whose sum is σ = 2973024000. Its totient is φ = 184826880.

The previous prime is 789984359. The next prime is 789984361. The reversal of 789984360 is 63489987.

It is an interprime number because it is at equal distance from previous prime (789984359) and next prime (789984361).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 789984297 and 789984306.

It is not an unprimeable number, because it can be changed into a prime (789984361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343374 + ... + 345666.

It is an arithmetic number, because the mean of its divisors is an integer number (11613375).

Almost surely, 2^789984360 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 789984360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486512000).

789984360 is an abundant number, since it is smaller than the sum of its proper divisors (2183039640).

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

789984360 is a wasteful number, since it uses less digits than its factorization.

789984360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 789984360 is about 28106.6604206192. The cubic root of 789984360 is about 924.4274460161.

The spelling of 789984360 in words is "seven hundred eighty-nine million, nine hundred eighty-four thousand, three hundred sixty".