788970240 has 288 divisors, whose sum is σ = 2880077760. Its totient is φ = 204374016.

The previous prime is 788970239. The next prime is 788970251. The reversal of 788970240 is 42079887.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1278412 + ... + 1279028.

It is an arithmetic number, because the mean of its divisors is an integer number (10000270).

Almost surely, 2^788970240 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 788970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440038880).

788970240 is an abundant number, since it is smaller than the sum of its proper divisors (2091107520).

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

788970240 is a wasteful number, since it uses less digits than its factorization.

788970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 788970240 is about 28088.6140633531. The cubic root of 788970240 is about 924.0317074631.

The spelling of 788970240 in words is "seven hundred eighty-eight million, nine hundred seventy thousand, two hundred forty".