1978200 has 144 divisors (see below), whose sum is σ = 7640880. Its totient is φ = 449280.

The previous prime is 1978199. The next prime is 1978201. The reversal of 1978200 is 28791.

It is an interprime number because it is at equal distance from previous prime (1978199) and next prime (1978201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12522 + ... + 12678.

2^1978200 is an apocalyptic number.

1978200 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 1978200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820440).

1978200 is an abundant number, since it is smaller than the sum of its proper divisors (5662680).

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

1978200 is a wasteful number, since it uses less digits than its factorization.

1978200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1978200 is about 1406.4849803677. The cubic root of 1978200 is about 125.5326602933.

The spelling of 1978200 in words is "one million, nine hundred seventy-eight thousand, two hundred".