79337664 has 168 divisors, whose sum is σ = 271607280. Its totient is φ = 22643712.

The previous prime is 79337663. The next prime is 79337681. The reversal of 79337664 is 46673397.

It is a tau number, because it is divible by the number of its divisors (168).

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

Its product of digits (571536) is a multiple of the sum of its prime factors (972).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (79337663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84204 + ... + 85140.

It is an arithmetic number, because the mean of its divisors is an integer number (1616710).

Almost surely, 2^79337664 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 79337664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135803640).

79337664 is an abundant number, since it is smaller than the sum of its proper divisors (192269616).

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

79337664 is a wasteful number, since it uses less digits than its factorization.

79337664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 949 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 79337664 is about 8907.1692472974. The cubic root of 79337664 is about 429.6945080924.

The spelling of 79337664 in words is "seventy-nine million, three hundred thirty-seven thousand, six hundred sixty-four".