797832 has 48 divisors (see below), whose sum is σ = 2471040. Its totient is φ = 227808.

The previous prime is 797813. The next prime is 797833. The reversal of 797832 is 238797.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (797833) by changing a digit.

797832 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 11 ways as a sum of consecutive naturals, for example, 288 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (51480).

2⁷⁹⁷⁸³² is an apocalyptic number.

797832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

797832 is an abundant number, since it is smaller than the sum of its proper divisors (1673208).

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

797832 is a wasteful number, since it uses less digits than its factorization.

797832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1595 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 797832 is about 893.2144199463. The cubic root of 797832 is about 92.7478427680.

The spelling of 797832 in words is "seven hundred ninety-seven thousand, eight hundred thirty-two".