79929040 has 40 divisors (see below), whose sum is σ = 188202240. Its totient is φ = 31564416.

The previous prime is 79929037. The next prime is 79929041. The reversal of 79929040 is 4092997.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 79928984 and 79929002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79929041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 12643.

It is an arithmetic number, because the mean of its divisors is an integer number (4705056).

Almost surely, 2^79929040 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 79929040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94101120).

79929040 is an abundant number, since it is smaller than the sum of its proper divisors (108273200).

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

79929040 is a wasteful number, since it uses less digits than its factorization.

79929040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12739 (or 12733 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 79929040 is about 8940.3042453823. The cubic root of 79929040 is about 430.7595014155.

The spelling of 79929040 in words is "seventy-nine million, nine hundred twenty-nine thousand, forty".