67808720 has 80 divisors (see below), whose sum is σ = 189690240. Its totient is φ = 22021632.

The previous prime is 67808693. The next prime is 67808737. The reversal of 67808720 is 2780876.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7454 + ... + 13826.

It is an arithmetic number, because the mean of its divisors is an integer number (2371128).

Almost surely, 2^67808720 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 67808720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94845120).

67808720 is an abundant number, since it is smaller than the sum of its proper divisors (121881520).

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

67808720 is a wasteful number, since it uses less digits than its factorization.

67808720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 67808720 is about 8234.6050299938. The cubic root of 67808720 is about 407.7824355880.

The spelling of 67808720 in words is "sixty-seven million, eight hundred eight thousand, seven hundred twenty".