788480 has 96 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 245760.

The previous prime is 788479. The next prime is 788497. The reversal of 788480 is 84887.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 788480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71675 + ... + 71685.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁷⁸⁸⁴⁸⁰ is an apocalyptic number.

788480 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 788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

788480 is an abundant number, since it is smaller than the sum of its proper divisors (1570240).

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

788480 is a wasteful number, since it uses less digits than its factorization.

788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 25 counting only the distinct ones).

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

The square root of 788480 is about 887.9639632327. The cubic root of 788480 is about 92.3840280233.

Adding to 788480 its product of nonzero digits (14336), we get a square (802816 = 896²).

788480 divided by its product of nonzero digits (14336) gives a palindrome (55).

It can be divided in two parts, 78 and 8480, that added together give a palindrome (8558).

The spelling of 788480 in words is "seven hundred eighty-eight thousand, four hundred eighty".