79648000 has 144 divisors (see below), whose sum is σ = 210450240. Its totient is φ = 29952000.

The previous prime is 79647979. The next prime is 79648001. The reversal of 79648000 is 84697.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79648001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607935 + ... + 608065.

It is an arithmetic number, because the mean of its divisors is an integer number (1461460).

Almost surely, 2^79648000 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 79648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105225120).

79648000 is an abundant number, since it is smaller than the sum of its proper divisors (130802240).

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

79648000 is a wasteful number, since it uses less digits than its factorization.

79648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 79648000 is about 8924.5728189085. The cubic root of 79648000 is about 430.2540413392.

The spelling of 79648000 in words is "seventy-nine million, six hundred forty-eight thousand".