788420980 has 48 divisors (see below), whose sum is σ = 1711820880. Its totient is φ = 304819200.

The previous prime is 788420909. The next prime is 788421013. The reversal of 788420980 is 89024887.

It can be written as a sum of positive squares in 8 ways, for example, as 26440164 + 761980816 = 5142^2 + 27604^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 788420980.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84970 + ... + 93790.

It is an arithmetic number, because the mean of its divisors is an integer number (35662935).

Almost surely, 2^788420980 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 788420980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855910440).

788420980 is an abundant number, since it is smaller than the sum of its proper divisors (923399900).

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

788420980 is a wasteful number, since it uses less digits than its factorization.

788420980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980 (or 8978 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The square root of 788420980 is about 28078.8350897967. The cubic root of 788420980 is about 923.8172289557.

The spelling of 788420980 in words is "seven hundred eighty-eight million, four hundred twenty thousand, nine hundred eighty".