79079040 has 96 divisors (see below), whose sum is σ = 273089700. Its totient is φ = 21086208.

The previous prime is 79079029. The next prime is 79079041. The reversal of 79079040 is 4097097.

It can be written as a sum of positive squares in 2 ways, for example, as 77580864 + 1498176 = 8808^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 79078986 and 79079004.

It is not an unprimeable number, because it can be changed into a prime (79079041) 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 11 ways as a sum of consecutive naturals, for example, 1105 + ... + 12624.

Almost surely, 2^79079040 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 79079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136544850).

79079040 is an abundant number, since it is smaller than the sum of its proper divisors (194010660).

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

79079040 is a wasteful number, since it uses less digits than its factorization.

79079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13754 (or 13739 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 79079040 is about 8892.6396531064. The cubic root of 79079040 is about 429.2270954383.

The spelling of 79079040 in words is "seventy-nine million, seventy-nine thousand, forty".