788840 has 64 divisors (see below), whose sum is σ = 2010960. Its totient is φ = 276480.

The previous prime is 788819. The next prime is 788849. The reversal of 788840 is 48887.

It can be written as a sum of positive squares in 8 ways, for example, as 158404 + 630436 = 398^2 + 794^2 .

It is a super-3 number, since 3×788840³ = 1472610958533312000, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 788840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788849) by changing a digit.

788840 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, 19220 + ... + 19260.

2⁷⁸⁸⁸⁴⁰ 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 788840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480).

788840 is an abundant number, since it is smaller than the sum of its proper divisors (1222120).

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

788840 is a wasteful number, since it uses less digits than its factorization.

788840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 788840 is about 888.1666510290. The cubic root of 788840 is about 92.3980859532.

The spelling of 788840 in words is "seven hundred eighty-eight thousand, eight hundred forty".