79688448 has 252 divisors, whose sum is σ = 277027408. Its totient is φ = 22394880.

The previous prime is 79688443. The next prime is 79688449. The reversal of 79688448 is 84488697.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 = 79688394 and 79688403.

It is not an unprimeable number, because it can be changed into a prime (79688443) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1306338 + ... + 1306398.

Almost surely, 2^79688448 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 79688448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138513704).

79688448 is an abundant number, since it is smaller than the sum of its proper divisors (197338960).

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

79688448 is an frugal number, since it uses more digits than its factorization.

79688448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 79688448 is about 8926.8386341414. The cubic root of 79688448 is about 430.3268616250.

The spelling of 79688448 in words is "seventy-nine million, six hundred eighty-eight thousand, four hundred forty-eight".