797504 has 28 divisors (see below), whose sum is σ = 1677924. Its totient is φ = 374784.

The previous prime is 797497. The next prime is 797507. The reversal of 797504 is 405797.

It can be written as a sum of positive squares in 2 ways, for example, as 719104 + 78400 = 848^2 + 280^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797507) by changing a digit.

797504 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 3 ways as a sum of consecutive naturals, for example, 722 + ... + 1454.

2⁷⁹⁷⁵⁰⁴ 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 797504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838962).

797504 is an abundant number, since it is smaller than the sum of its proper divisors (880420).

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

797504 is a wasteful number, since it uses less digits than its factorization.

797504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 797504 is about 893.0307945418. The cubic root of 797504 is about 92.7351310433.

The spelling of 797504 in words is "seven hundred ninety-seven thousand, five hundred four".