788472 has 48 divisors (see below), whose sum is σ = 2190240. Its totient is φ = 256128.

The previous prime is 788467. The next prime is 788479. The reversal of 788472 is 274887.

788472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 788472.

It is not an unprimeable number, because it can be changed into a prime (788479) by changing a digit.

788472 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 11 ways as a sum of consecutive naturals, for example, 3268 + ... + 3500.

It is an arithmetic number, because the mean of its divisors is an integer number (45630).

2⁷⁸⁸⁴⁷² is an apocalyptic number.

788472 is a gapful number since it is divisible by the number (72) 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 788472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095120).

788472 is an abundant number, since it is smaller than the sum of its proper divisors (1401768).

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

788472 is a wasteful number, since it uses less digits than its factorization.

788472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 285 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 788472 is about 887.9594585340. The cubic root of 788472 is about 92.3837155763.

The spelling of 788472 in words is "seven hundred eighty-eight thousand, four hundred seventy-two".