218778000 has 160 divisors (see below), whose sum is σ = 806257920. Its totient is φ = 49996800.

The previous prime is 218777963. The next prime is 218778031. The reversal of 218778000 is 877812.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39396 + ... + 44604.

It is an arithmetic number, because the mean of its divisors is an integer number (5039112).

Almost surely, 2^218778000 is an apocalyptic number.

218778000 is a gapful number since it is divisible by the number (20) 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 218778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403128960).

218778000 is an abundant number, since it is smaller than the sum of its proper divisors (587479920).

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

218778000 is a wasteful number, since it uses less digits than its factorization.

218778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 218778000 is about 14791.1460002259. The cubic root of 218778000 is about 602.5612731312.

The spelling of 218778000 in words is "two hundred eighteen million, seven hundred seventy-eight thousand".