79419648 has 288 divisors, whose sum is σ = 282562560. Its totient is φ = 19169280.

The previous prime is 79419647. The next prime is 79419653. The reversal of 79419648 is 84691497.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 79419597 and 79419606.

It is not an unprimeable number, because it can be changed into a prime (79419643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005273 + ... + 1005351.

It is an arithmetic number, because the mean of its divisors is an integer number (981120).

Almost surely, 2^79419648 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 79419648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141281280).

79419648 is an abundant number, since it is smaller than the sum of its proper divisors (203142912).

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

79419648 is a wasteful number, since it uses less digits than its factorization.

79419648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 79419648 is about 8911.7701945236. The cubic root of 79419648 is about 429.8424661801.

The spelling of 79419648 in words is "seventy-nine million, four hundred nineteen thousand, six hundred forty-eight".