788214240 has 576 divisors, whose sum is σ = 3236163840. Its totient is φ = 179159040.

The previous prime is 788214227. The next prime is 788214253. The reversal of 788214240 is 42412887.

It is an interprime number because it is at equal distance from previous prime (788214227) and next prime (788214253).

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 = 788214195 and 788214204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8125872 + ... + 8125968.

It is an arithmetic number, because the mean of its divisors is an integer number (5618340).

Almost surely, 2^788214240 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 788214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618081920).

788214240 is an abundant number, since it is smaller than the sum of its proper divisors (2447949600).

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

788214240 is a wasteful number, since it uses less digits than its factorization.

788214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 788214240 is about 28075.1534278978. The cubic root of 788214240 is about 923.7364740143.

It can be divided in two parts, 7882 and 14240, that added together give a palindrome (22122).

The spelling of 788214240 in words is "seven hundred eighty-eight million, two hundred fourteen thousand, two hundred forty".