67758720 has 64 divisors (see below), whose sum is σ = 215987040. Its totient is φ = 18068480.

The previous prime is 67758707. The next prime is 67758721. The reversal of 67758720 is 2785776.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (67758721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15726 + ... + 19565.

Almost surely, 2^67758720 is an apocalyptic number.

67758720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67758720 is an abundant number, since it is smaller than the sum of its proper divisors (148228320).

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

67758720 is a wasteful number, since it uses less digits than its factorization.

67758720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35313 (or 35301 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 67758720 is about 8231.5685018106. The cubic root of 67758720 is about 407.6821823302.

The spelling of 67758720 in words is "sixty-seven million, seven hundred fifty-eight thousand, seven hundred twenty".