78337064 has 32 divisors (see below), whose sum is σ = 159348000. Its totient is φ = 35888832.

The previous prime is 78337043. The next prime is 78337067. The reversal of 78337064 is 46073387.

It is a super-2 number, since 2×78337064² = 12273391192280192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (78337067) 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, 11747 + ... + 17165.

It is an arithmetic number, because the mean of its divisors is an integer number (4979625).

Almost surely, 2^78337064 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 78337064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79674000).

78337064 is an abundant number, since it is smaller than the sum of its proper divisors (81010936).

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

78337064 is a wasteful number, since it uses less digits than its factorization.

78337064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 78337064 is about 8850.8227866114. The cubic root of 78337064 is about 427.8804365126.

The spelling of 78337064 in words is "seventy-eight million, three hundred thirty-seven thousand, sixty-four".