1978730000 has 200 divisors, whose sum is σ = 5336491776. Its totient is φ = 705600000.

The previous prime is 1978729981. The next prime is 1978730003. The reversal of 1978730000 is 378791.

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

It is not an unprimeable number, because it can be changed into a prime (1978730003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4029755 + ... + 4030245.

Almost surely, 2^1978730000 is an apocalyptic number.

1978730000 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 1978730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668245888).

1978730000 is an abundant number, since it is smaller than the sum of its proper divisors (3357761776).

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

1978730000 is a wasteful number, since it uses less digits than its factorization.

1978730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 1978730000 is about 44482.9180697490. The cubic root of 1978730000 is about 1255.4387020958.

The spelling of 1978730000 in words is "one billion, nine hundred seventy-eight million, seven hundred thirty thousand".