788120 has 64 divisors (see below), whose sum is σ = 2008800. Its totient is φ = 276480.

The previous prime is 788107. The next prime is 788129. The reversal of 788120 is 21887.

It is a super-2 number, since 2×788120² = 1242266268800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 788120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788129) by changing a digit.

788120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12890 + ... + 12950.

2⁷⁸⁸¹²⁰ 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 788120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004400).

788120 is an abundant number, since it is smaller than the sum of its proper divisors (1220680).

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

788120 is a wasteful number, since it uses less digits than its factorization.

788120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 788120 is about 887.7612291602. The cubic root of 788120 is about 92.3699658138.

The spelling of 788120 in words is "seven hundred eighty-eight thousand, one hundred twenty".