79586752 has 56 divisors (see below), whose sum is σ = 183611520. Its totient is φ = 33519360.

The previous prime is 79586719. The next prime is 79586753. The reversal of 79586752 is 25768597.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 79586696 and 79586705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79586753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24927 + ... + 27937.

Almost surely, 2^79586752 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 79586752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91805760).

79586752 is an abundant number, since it is smaller than the sum of its proper divisors (104024768).

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

79586752 is a wasteful number, since it uses less digits than its factorization.

79586752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3079 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 49.

The square root of 79586752 is about 8921.1407342335. The cubic root of 79586752 is about 430.1437269676.

The spelling of 79586752 in words is "seventy-nine million, five hundred eighty-six thousand, seven hundred fifty-two".