78337664 has 64 divisors (see below), whose sum is σ = 161894400. Its totient is φ = 37739520.

The previous prime is 78337643. The next prime is 78337667. The reversal of 78337664 is 46673387.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×78337664² = 12273579201953792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78337667) 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 7 ways as a sum of consecutive naturals, for example, 616769 + ... + 616895.

It is an arithmetic number, because the mean of its divisors is an integer number (2529600).

Almost surely, 2^78337664 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 78337664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80947200).

78337664 is an abundant number, since it is smaller than the sum of its proper divisors (83556736).

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

78337664 is a wasteful number, since it uses less digits than its factorization.

78337664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its digits is 508032, while the sum is 44.

The square root of 78337664 is about 8850.8566817004. The cubic root of 78337664 is about 427.8815289185.

The spelling of 78337664 in words is "seventy-eight million, three hundred thirty-seven thousand, six hundred sixty-four".