788048800 has 216 divisors, whose sum is σ = 2418782688. Its totient is φ = 245414400.

The previous prime is 788048791. The next prime is 788048801. The reversal of 788048800 is 8840887.

It is a super-2 number, since 2×788048800² = 1242041822362880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (788048801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 677019 + ... + 678181.

It is an arithmetic number, because the mean of its divisors is an integer number (11198068).

Almost surely, 2^788048800 is an apocalyptic number.

788048800 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 788048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209391344).

788048800 is an abundant number, since it is smaller than the sum of its proper divisors (1630733888).

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

788048800 is a wasteful number, since it uses less digits than its factorization.

788048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 43.

The square root of 788048800 is about 28072.2068957893. The cubic root of 788048800 is about 923.6718411400.

The spelling of 788048800 in words is "seven hundred eighty-eight million, forty-eight thousand, eight hundred".