79758 has 32 divisors (see below), whose sum is σ = 203520. Its totient is φ = 22680.

The previous prime is 79757. The next prime is 79769. The reversal of 79758 is 85797.

It is a super-2 number, since 2×79758² = 12722677128, which contains 22 as substring.

It is a d-powerful number, because it can be written as 7² + 9³ + 7³ + 5⁷ + 8³ .

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (6360).

2⁷⁹⁷⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101760).

79758 is an abundant number, since it is smaller than the sum of its proper divisors (123762).

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

79758 is a wasteful number, since it uses less digits than its factorization.

79758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 79758 is about 282.4145888583. The cubic root of 79758 is about 43.0452021508.

The spelling of 79758 in words is "seventy-nine thousand, seven hundred fifty-eight".