788920 has 48 divisors (see below), whose sum is σ = 1963080. Its totient is φ = 285120.

The previous prime is 788903. The next prime is 788927. The reversal of 788920 is 29887.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4759 + ... + 4921.

2⁷⁸⁸⁹²⁰ 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 788920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981540).

788920 is an abundant number, since it is smaller than the sum of its proper divisors (1174160).

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

788920 is a wasteful number, since it uses less digits than its factorization.

788920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 788920 is about 888.2116864802. The cubic root of 788920 is about 92.4012093568.

It can be divided in two parts, 78 and 8920, that added together give a palindrome (8998).

The spelling of 788920 in words is "seven hundred eighty-eight thousand, nine hundred twenty".