788628096 has 256 divisors, whose sum is σ = 2549836800. Its totient is φ = 238878720.

The previous prime is 788628073. The next prime is 788628097. The reversal of 788628096 is 690826887.

788628096 is a `hidden beast` number, since 7 + 8 + 8 + 628 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (788628097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1821096 + ... + 1821528.

It is an arithmetic number, because the mean of its divisors is an integer number (9960300).

Almost surely, 2^788628096 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 788628096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274918400).

788628096 is an abundant number, since it is smaller than the sum of its proper divisors (1761208704).

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

788628096 is a wasteful number, since it uses less digits than its factorization.

788628096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 788628096 is about 28082.5229635800. The cubic root of 788628096 is about 923.8981166126.

The spelling of 788628096 in words is "seven hundred eighty-eight million, six hundred twenty-eight thousand, ninety-six".