788042304 has 336 divisors, whose sum is σ = 2772826560. Its totient is φ = 218695680.

The previous prime is 788042303. The next prime is 788042341. The reversal of 788042304 is 403240887.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788042303) 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 47 ways as a sum of consecutive naturals, for example, 3471439 + ... + 3471665.

It is an arithmetic number, because the mean of its divisors is an integer number (8252460).

Almost surely, 2^788042304 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 788042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386413280).

788042304 is an abundant number, since it is smaller than the sum of its proper divisors (1984784256).

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

788042304 is a wasteful number, since it uses less digits than its factorization.

788042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 280 counting only the distinct ones).

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

The square root of 788042304 is about 28072.0911939243. The cubic root of 788042304 is about 923.6693031463.

The spelling of 788042304 in words is "seven hundred eighty-eight million, forty-two thousand, three hundred four".