79432416 has 216 divisors, whose sum is σ = 273257712. Its totient is φ = 21427200.

The previous prime is 79432399. The next prime is 79432417. The reversal of 79432416 is 61423497.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (36288) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79432417) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1937356 + ... + 1937396.

It is an arithmetic number, because the mean of its divisors is an integer number (1265082).

Almost surely, 2^79432416 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 79432416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136628856).

79432416 is an abundant number, since it is smaller than the sum of its proper divisors (193825296).

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

79432416 is a wasteful number, since it uses less digits than its factorization.

79432416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 84 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 79432416 is about 8912.4865217289. The cubic root of 79432416 is about 429.8654996681.

The spelling of 79432416 in words is "seventy-nine million, four hundred thirty-two thousand, four hundred sixteen".