67778064 has 60 divisors (see below), whose sum is σ = 190282092. Its totient is φ = 22521600.

The previous prime is 67778063. The next prime is 67778077. The reversal of 67778064 is 46087776.

It can be written as a sum of positive squares in 2 ways, for example, as 30470400 + 37307664 = 5520^2 + 6108^2 .

It is not an unprimeable number, because it can be changed into a prime (67778063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65874 + ... + 66894.

Almost surely, 2^67778064 is an apocalyptic number.

It is an amenable number.

67778064 is an abundant number, since it is smaller than the sum of its proper divisors (122504028).

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

67778064 is a wasteful number, since it uses less digits than its factorization.

67778064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 67778064 is about 8232.7434066658. The cubic root of 67778064 is about 407.7209741580.

It can be divided in two parts, 6777 and 8064, that added together give a palindrome (14841).

The spelling of 67778064 in words is "sixty-seven million, seven hundred seventy-eight thousand, sixty-four".