1978800000 has 384 divisors, whose sum is σ = 7027987680. Its totient is φ = 491520000.

The previous prime is 1978799957. The next prime is 1978800001. The reversal of 1978800000 is 88791.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978800001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20399952 + ... + 20400048.

Almost surely, 2^1978800000 is an apocalyptic number.

1978800000 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 1978800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513993840).

1978800000 is an abundant number, since it is smaller than the sum of its proper divisors (5049187680).

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

1978800000 is an frugal number, since it uses more digits than its factorization.

1978800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 1978800000 is about 44483.7048816755. The cubic root of 1978800000 is about 1255.4535061491.

Adding to 1978800000 its reverse (88791), we get a palindrome (1978888791).

The spelling of 1978800000 in words is "one billion, nine hundred seventy-eight million, eight hundred thousand".