79785216 has 288 divisors, whose sum is σ = 288449280. Its totient is φ = 21233664.

The previous prime is 79785191. The next prime is 79785217. The reversal of 79785216 is 61258797.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (211680) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79785217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822480 + ... + 822576.

It is an arithmetic number, because the mean of its divisors is an integer number (1001560).

Almost surely, 2^79785216 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 79785216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144224640).

79785216 is an abundant number, since it is smaller than the sum of its proper divisors (208664064).

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

79785216 is a wasteful number, since it uses less digits than its factorization.

79785216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 79785216 is about 8932.2570495928. The cubic root of 79785216 is about 430.5009773072.

The spelling of 79785216 in words is "seventy-nine million, seven hundred eighty-five thousand, two hundred sixteen".