79792416 has 144 divisors (see below), whose sum is σ = 251203680. Its totient is φ = 23823360.

The previous prime is 79792411. The next prime is 79792423. The reversal of 79792416 is 61429797.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×79792416² = 12733659302234112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (79792411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281811 + ... + 282093.

It is an arithmetic number, because the mean of its divisors is an integer number (1744470).

Almost surely, 2^79792416 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 79792416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125601840).

79792416 is an abundant number, since it is smaller than the sum of its proper divisors (171411264).

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

79792416 is a wasteful number, since it uses less digits than its factorization.

79792416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 79792416 is about 8932.6600741325. The cubic root of 79792416 is about 430.5139267146.

It can be divided in two parts, 79792 and 416, that added together give a palindrome (80208).

The spelling of 79792416 in words is "seventy-nine million, seven hundred ninety-two thousand, four hundred sixteen".