1818978000 has 480 divisors, whose sum is σ = 7144899840. Its totient is φ = 396211200.

The previous prime is 1818977987. The next prime is 1818978001. The reversal of 1818978000 is 8798181.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1818978001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6761866 + ... + 6762134.

It is an arithmetic number, because the mean of its divisors is an integer number (14885208).

Almost surely, 2^1818978000 is an apocalyptic number.

1818978000 is a gapful number since it is divisible by the number (10) 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 1818978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572449920).

1818978000 is an abundant number, since it is smaller than the sum of its proper divisors (5325921840).

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

1818978000 is a wasteful number, since it uses less digits than its factorization.

1818978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 42.

The square root of 1818978000 is about 42649.4783086499. The cubic root of 1818978000 is about 1220.7005740646.

The spelling of 1818978000 in words is "one billion, eight hundred eighteen million, nine hundred seventy-eight thousand".