79129344 has 144 divisors (see below), whose sum is σ = 247242240. Its totient is φ = 21995520.

The previous prime is 79129343. The next prime is 79129367. The reversal of 79129344 is 44392197.

It is a super-2 number, since 2×79129344² = 12522906163740672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (79129343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220237 + ... + 220595.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2^79129344 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 79129344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621120).

79129344 is an abundant number, since it is smaller than the sum of its proper divisors (168112896).

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

79129344 is a wasteful number, since it uses less digits than its factorization.

79129344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 412 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 79129344 is about 8895.4676099686. The cubic root of 79129344 is about 429.3180898960.

It can be divided in two parts, 791 and 29344, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 79129344 in words is "seventy-nine million, one hundred twenty-nine thousand, three hundred forty-four".