788704000 has 216 divisors, whose sum is σ = 2290081248. Its totient is φ = 269875200.

The previous prime is 788703991. The next prime is 788704019. The reversal of 788704000 is 407887.

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 23 ways as a sum of consecutive naturals, for example, 1567749 + ... + 1568251.

It is an arithmetic number, because the mean of its divisors is an integer number (10602228).

Almost surely, 2^788704000 is an apocalyptic number.

788704000 is a gapful number since it is divisible by the number (70) 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 788704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145040624).

788704000 is an abundant number, since it is smaller than the sum of its proper divisors (1501377248).

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

788704000 is an equidigital number, since it uses as much as digits as its factorization.

788704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 788704000 is about 28083.8743765884. The cubic root of 788704000 is about 923.9277568250.

It can be divided in two parts, 78 and 8704000, that added together give a palindrome (8704078).

The spelling of 788704000 in words is "seven hundred eighty-eight million, seven hundred four thousand".