789976000 has 224 divisors, whose sum is σ = 2191048704. Its totient is φ = 279680000.

The previous prime is 789975983. The next prime is 789976049. The reversal of 789976000 is 679987.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4135905 + ... + 4136095.

Almost surely, 2^789976000 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 789976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095524352).

789976000 is an abundant number, since it is smaller than the sum of its proper divisors (1401072704).

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

789976000 is a wasteful number, since it uses less digits than its factorization.

789976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 789976000 is about 28106.5117010276. The cubic root of 789976000 is about 924.4241850905.

The spelling of 789976000 in words is "seven hundred eighty-nine million, nine hundred seventy-six thousand".