788628360 has 192 divisors, whose sum is σ = 2633618880. Its totient is φ = 188697600.

The previous prime is 788628359. The next prime is 788628367. The reversal of 788628360 is 63826887.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (788628367) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 749835 + ... + 750885.

It is an arithmetic number, because the mean of its divisors is an integer number (13716765).

Almost surely, 2^788628360 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 788628360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316809440).

788628360 is an abundant number, since it is smaller than the sum of its proper divisors (1844990520).

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

788628360 is a wasteful number, since it uses less digits than its factorization.

788628360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 788628360 is about 28082.5276640120. The cubic root of 788628360 is about 923.8982197068.

The spelling of 788628360 in words is "seven hundred eighty-eight million, six hundred twenty-eight thousand, three hundred sixty".