788913216 has 448 divisors, whose sum is σ = 2969971200. Its totient is φ = 199729152.

The previous prime is 788913211. The next prime is 788913221. The reversal of 788913216 is 612319887.

It is an interprime number because it is at equal distance from previous prime (788913211) and next prime (788913221).

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (788913211) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4560106 + ... + 4560278.

It is an arithmetic number, because the mean of its divisors is an integer number (6629400).

Almost surely, 2^788913216 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 788913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484985600).

788913216 is an abundant number, since it is smaller than the sum of its proper divisors (2181057984).

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

788913216 is a wasteful number, since it uses less digits than its factorization.

788913216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 788913216 is about 28087.5989717882. The cubic root of 788913216 is about 924.0094450038.

The spelling of 788913216 in words is "seven hundred eighty-eight million, nine hundred thirteen thousand, two hundred sixteen".