789756480 has 140 divisors (see below), whose sum is σ = 2809394940. Its totient is φ = 210594816.

The previous prime is 789756479. The next prime is 789756491. The reversal of 789756480 is 84657987.

789756480 is a `hidden beast` number, since 78 + 9 + 7 + 564 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 347747904 + 442008576 = 18648^2 + 21024^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 10686 + ... + 41154.

Almost surely, 2^789756480 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 789756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404697470).

789756480 is an abundant number, since it is smaller than the sum of its proper divisors (2019638460).

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

789756480 is a wasteful number, since it uses less digits than its factorization.

789756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30498 (or 30479 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 789756480 is about 28102.6062848270. The cubic root of 789756480 is about 924.3385502540.

The spelling of 789756480 in words is "seven hundred eighty-nine million, seven hundred fifty-six thousand, four hundred eighty".