791505 has 64 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 345600.

The previous prime is 791489. The next prime is 791519. The reversal of 791505 is 505197.

It is not a de Polignac number, because 791505 - 2⁴ = 791489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a Kaprekar number, because its square (626480165025) can be partitioned into two parts whose sum is 791505.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19285 + ... + 19325.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁷⁹¹⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

791505 is an abundant number, since it is smaller than the sum of its proper divisors (901935).

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

791505 is a wasteful number, since it uses less digits than its factorization.

791505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 791505 is about 889.6656675403. The cubic root of 791505 is about 92.5020208957.

It can be divided in two parts, 791 and 505, that added together give a 4-th power (1296 = 6⁴).

The spelling of 791505 in words is "seven hundred ninety-one thousand, five hundred five".