788328 has 24 divisors (see below), whose sum is σ = 2135250. Its totient is φ = 262752.

The previous prime is 788321. The next prime is 788351. The reversal of 788328 is 823887.

It can be written as a sum of positive squares in only one way, i.e., 777924 + 10404 = 882^2 + 102^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×788328² = 1242922071168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 788292 and 788301.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 788328.

It is not an unprimeable number, because it can be changed into a prime (788321) by changing a digit.

788328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5403 + ... + 5546.

2⁷⁸⁸³²⁸ is an apocalyptic number.

It is an amenable number.

788328 is an abundant number, since it is smaller than the sum of its proper divisors (1346922).

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

788328 is a wasteful number, since it uses less digits than its factorization.

788328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10961 (or 10954 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 788328 is about 887.8783700485. The cubic root of 788328 is about 92.3780911682.

The spelling of 788328 in words is "seven hundred eighty-eight thousand, three hundred twenty-eight".