1978182000 has 200 divisors, whose sum is σ = 7145925072. Its totient is φ = 527472000.

The previous prime is 1978181983. The next prime is 1978182007. The reversal of 1978182000 is 2818791.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978182007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 155895 + ... + 168105.

Almost surely, 2^1978182000 is an apocalyptic number.

1978182000 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 1978182000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572962536).

1978182000 is an abundant number, since it is smaller than the sum of its proper divisors (5167743072).

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

1978182000 is a wasteful number, since it uses less digits than its factorization.

1978182000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12246 (or 12221 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 1978182000 is about 44476.7579753741. The cubic root of 1978182000 is about 1255.3227954403.

The spelling of 1978182000 in words is "one billion, nine hundred seventy-eight million, one hundred eighty-two thousand".