788752640 has 144 divisors (see below), whose sum is σ = 2058291648. Its totient is φ = 287858688.

The previous prime is 788752607. The next prime is 788752673. The reversal of 788752640 is 46257887.

It is an interprime number because it is at equal distance from previous prime (788752607) and next prime (788752673).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1780259 + ... + 1780701.

It is an arithmetic number, because the mean of its divisors is an integer number (14293692).

Almost surely, 2^788752640 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 788752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029145824).

788752640 is an abundant number, since it is smaller than the sum of its proper divisors (1269539008).

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

788752640 is a wasteful number, since it uses less digits than its factorization.

788752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 47.

The square root of 788752640 is about 28084.7403406191. The cubic root of 788752640 is about 923.9467495533.

The spelling of 788752640 in words is "seven hundred eighty-eight million, seven hundred fifty-two thousand, six hundred forty".