79282944 has 108 divisors (see below), whose sum is σ = 246269296. Its totient is φ = 24385536.

The previous prime is 79282939. The next prime is 79282949. The reversal of 79282944 is 44928297.

It is an interprime number because it is at equal distance from previous prime (79282939) and next prime (79282949).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 79282944.

It is not an unprimeable number, because it can be changed into a prime (79282949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28629 + ... + 31275.

Almost surely, 2^79282944 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 79282944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123134648).

79282944 is an abundant number, since it is smaller than the sum of its proper divisors (166986352).

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

79282944 is a wasteful number, since it uses less digits than its factorization.

79282944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2665 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 79282944 is about 8904.0970345117. The cubic root of 79282944 is about 429.5956971366.

The spelling of 79282944 in words is "seventy-nine million, two hundred eighty-two thousand, nine hundred forty-four".