789978240 has 384 divisors, whose sum is σ = 2921443200. Its totient is φ = 196263936.

The previous prime is 789978229. The next prime is 789978271. The reversal of 789978240 is 42879987.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8876116 + ... + 8876204.

It is an arithmetic number, because the mean of its divisors is an integer number (7607925).

Almost surely, 2^789978240 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 789978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460721600).

789978240 is an abundant number, since it is smaller than the sum of its proper divisors (2131464960).

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

789978240 is a wasteful number, since it uses less digits than its factorization.

789978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 789978240 is about 28106.5515494164. The cubic root of 789978240 is about 924.4250588336.

The spelling of 789978240 in words is "seven hundred eighty-nine million, nine hundred seventy-eight thousand, two hundred forty".