788238120 has 128 divisors (see below), whose sum is σ = 2440730880. Its totient is φ = 203520000.

The previous prime is 788238103. The next prime is 788238127. The reversal of 788238120 is 21832887.

It is a super-2 number, since 2×788238120² = 1242638667642268800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (788238127) 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, 742390 + ... + 743450.

It is an arithmetic number, because the mean of its divisors is an integer number (19068210).

Almost surely, 2^788238120 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 788238120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220365440).

788238120 is an abundant number, since it is smaller than the sum of its proper divisors (1652492760).

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

788238120 is a wasteful number, since it uses less digits than its factorization.

788238120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 788238120 is about 28075.5787117559. The cubic root of 788238120 is about 923.7458025290.

The spelling of 788238120 in words is "seven hundred eighty-eight million, two hundred thirty-eight thousand, one hundred twenty".