67776000 has 160 divisors (see below), whose sum is σ = 225976608. Its totient is φ = 18022400.

The previous prime is 67775999. The next prime is 67776001. The reversal of 67776000 is 67776.

Added to its reverse (67776) it gives a triangular number (67843776 = T₁₁₆₄₈).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67775999) and next prime (67776001).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67776001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191824 + ... + 192176.

Almost surely, 2^67776000 is an apocalyptic number.

67776000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112988304).

67776000 is an abundant number, since it is smaller than the sum of its proper divisors (158200608).

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

67776000 is an equidigital number, since it uses as much as digits as its factorization.

67776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 67776000 is about 8232.6180526003. The cubic root of 67776000 is about 407.7168354313.

Adding to 67776000 its reverse (67776), we get a triangular number (67843776 = T₁₁₆₄₈).

67776000 divided by its reverse (67776) gives a cube (1000 = 10³).

It can be divided in two parts, 6 and 7776000, that multiplied together give a cube (46656000 = 360³).

The spelling of 67776000 in words is "sixty-seven million, seven hundred seventy-six thousand".