79738848 has 144 divisors (see below), whose sum is σ = 266404320. Its totient is φ = 22146048.

The previous prime is 79738843. The next prime is 79738853. The reversal of 79738848 is 84883797.

It is an interprime number because it is at equal distance from previous prime (79738843) and next prime (79738853).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 79738794 and 79738803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79738843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74058 + ... + 75126.

It is an arithmetic number, because the mean of its divisors is an integer number (1850030).

Almost surely, 2^79738848 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 79738848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133202160).

79738848 is an abundant number, since it is smaller than the sum of its proper divisors (186665472).

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

79738848 is a wasteful number, since it uses less digits than its factorization.

79738848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1118 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 79738848 is about 8929.6611357879. The cubic root of 79738848 is about 430.4175644541.

The spelling of 79738848 in words is "seventy-nine million, seven hundred thirty-eight thousand, eight hundred forty-eight".