788416416 has 84 divisors (see below), whose sum is σ = 2327296482. Its totient is φ = 262797696.

The previous prime is 788416367. The next prime is 788416423. The reversal of 788416416 is 614614887.

It can be written as a sum of positive squares in only one way, i.e., 700131600 + 88284816 = 26460^2 + 9396^2 .

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 13 ways as a sum of consecutive naturals, for example, 6430 + ... + 40226.

Almost surely, 2^788416416 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 788416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163648241).

788416416 is an abundant number, since it is smaller than the sum of its proper divisors (1538880066).

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

788416416 is an equidigital number, since it uses as much as digits as its factorization.

788416416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33825 (or 33802 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 788416416 is about 28078.7538185013. The cubic root of 788416416 is about 923.8154463590.

The spelling of 788416416 in words is "seven hundred eighty-eight million, four hundred sixteen thousand, four hundred sixteen".