79647840 has 192 divisors, whose sum is σ = 283046400. Its totient is φ = 20915712.

The previous prime is 79647797. The next prime is 79647847. The reversal of 79647840 is 4874697.

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 Harshad number since it is a multiple of its sum of digits (45).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79647847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444871 + ... + 445049.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^79647840 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 79647840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

79647840 is an abundant number, since it is smaller than the sum of its proper divisors (203398560).

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

79647840 is a wasteful number, since it uses less digits than its factorization.

79647840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 79647840 is about 8924.5638548895. The cubic root of 79647840 is about 430.2537532354.

The spelling of 79647840 in words is "seventy-nine million, six hundred forty-seven thousand, eight hundred forty".