788706432 has 288 divisors, whose sum is σ = 2540191680. Its totient is φ = 234381312.

The previous prime is 788706419. The next prime is 788706487. The reversal of 788706432 is 234607887.

It is a happy number.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 35 ways as a sum of consecutive naturals, for example, 7657293 + ... + 7657395.

It is an arithmetic number, because the mean of its divisors is an integer number (8820110).

Almost surely, 2^788706432 is an apocalyptic number.

788706432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 788706432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270095840).

788706432 is an abundant number, since it is smaller than the sum of its proper divisors (1751485248).

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

788706432 is a wasteful number, since it uses less digits than its factorization.

788706432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 788706432 is about 28083.9176754241. The cubic root of 788706432 is about 923.9287064800.

The spelling of 788706432 in words is "seven hundred eighty-eight million, seven hundred six thousand, four hundred thirty-two".