788243040 has 432 divisors, whose sum is σ = 3021520320. Its totient is φ = 186900480.

The previous prime is 788243033. The next prime is 788243047. The reversal of 788243040 is 40342887.

It is an interprime number because it is at equal distance from previous prime (788243033) and next prime (788243047).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 788242986 and 788243004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788243047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9977721 + ... + 9977799.

It is an arithmetic number, because the mean of its divisors is an integer number (6994260).

Almost surely, 2^788243040 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 788243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510760160).

788243040 is an abundant number, since it is smaller than the sum of its proper divisors (2233277280).

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

788243040 is a wasteful number, since it uses less digits than its factorization.

788243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 788243040 is about 28075.6663322529. Note that the first 3 decimals coincide. The cubic root of 788243040 is about 923.7477244608.

The spelling of 788243040 in words is "seven hundred eighty-eight million, two hundred forty-three thousand, forty".