79506944 has 80 divisors (see below), whose sum is σ = 182666880. Its totient is φ = 34191360.

The previous prime is 79506941. The next prime is 79506961. The reversal of 79506944 is 44960597.

It is a Smith number, since the sum of its digits (44) 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 (44).

It is a junction number, because it is equal to n+sod(n) for n = 79506895 and 79506904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79506941) 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 7 ways as a sum of consecutive naturals, for example, 106637 + ... + 107379.

It is an arithmetic number, because the mean of its divisors is an integer number (2283336).

Almost surely, 2^79506944 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 79506944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91333440).

79506944 is an abundant number, since it is smaller than the sum of its proper divisors (103159936).

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

79506944 is a wasteful number, since it uses less digits than its factorization.

79506944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 79506944 is about 8916.6666417445. Note that the first 4 decimals coincide. The cubic root of 79506944 is about 429.9998990445. Note that the first 3 decimals are identical.

The spelling of 79506944 in words is "seventy-nine million, five hundred six thousand, nine hundred forty-four".