79785252 has 72 divisors (see below), whose sum is σ = 212075136. Its totient is φ = 25242624.

The previous prime is 79785217. The next prime is 79785271. The reversal of 79785252 is 25258797.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 79785198 and 79785207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137988 + ... + 138564.

It is an arithmetic number, because the mean of its divisors is an integer number (2945488).

Almost surely, 2^79785252 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 79785252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106037568).

79785252 is an abundant number, since it is smaller than the sum of its proper divisors (132289884).

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

79785252 is a wasteful number, since it uses less digits than its factorization.

79785252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 772 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 79785252 is about 8932.2590647607. The cubic root of 79785252 is about 430.5010420562.

The spelling of 79785252 in words is "seventy-nine million, seven hundred eighty-five thousand, two hundred fifty-two".