67980000 has 240 divisors, whose sum is σ = 245621376. Its totient is φ = 16320000.

The previous prime is 67979999. The next prime is 67980013. The reversal of 67980000 is 8976.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 13.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 67980000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659949 + ... + 660051.

Almost surely, 2^67980000 is an apocalyptic number.

67980000 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 67980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122810688).

67980000 is an abundant number, since it is smaller than the sum of its proper divisors (177641376).

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

67980000 is a wasteful number, since it uses less digits than its factorization.

67980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 67980000 is about 8244.9984839295. The cubic root of 67980000 is about 408.1254900414.

Adding to 67980000 its reverse (8976), we get a palindrome (67988976).

The spelling of 67980000 in words is "sixty-seven million, nine hundred eighty thousand".