788048352 has 360 divisors, whose sum is σ = 2879298576. Its totient is φ = 207028224.

The previous prime is 788048341. The next prime is 788048357. The reversal of 788048352 is 253840887.

It is a junction number, because it is equal to n+sod(n) for n = 788048298 and 788048307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788048357) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3066208 + ... + 3066464.

Almost surely, 2^788048352 is an apocalyptic number.

788048352 is a gapful number since it is divisible by the number (72) 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 788048352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439649288).

788048352 is an abundant number, since it is smaller than the sum of its proper divisors (2091250224).

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

788048352 is a wasteful number, since it uses less digits than its factorization.

788048352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 788048352 is about 28072.1989163656. The cubic root of 788048352 is about 923.6716661064.

The spelling of 788048352 in words is "seven hundred eighty-eight million, forty-eight thousand, three hundred fifty-two".