789009984 has 280 divisors, whose sum is σ = 2832445440. Its totient is φ = 212004864.

The previous prime is 789009971. The next prime is 789010003. The reversal of 789009984 is 489900987.

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

It is a self number, because there is not a number n which added to its sum of digits gives 789009984.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 616257 + ... + 617535.

Almost surely, 2^789009984 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 789009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416222720).

789009984 is an abundant number, since it is smaller than the sum of its proper divisors (2043435456).

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

789009984 is a wasteful number, since it uses less digits than its factorization.

789009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 789009984 is about 28089.3215297202. The cubic root of 789009984 is about 924.0472230883.

The spelling of 789009984 in words is "seven hundred eighty-nine million, nine thousand, nine hundred eighty-four".