1978368000 has 512 divisors, whose sum is σ = 7851617280. Its totient is φ = 432537600.

The previous prime is 1978367983. The next prime is 1978368053. The reversal of 1978368000 is 8638791.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86015989 + ... + 86016011.

It is an arithmetic number, because the mean of its divisors is an integer number (15335190).

Almost surely, 2^1978368000 is an apocalyptic number.

1978368000 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 1978368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925808640).

1978368000 is an abundant number, since it is smaller than the sum of its proper divisors (5873249280).

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

1978368000 is an frugal number, since it uses more digits than its factorization.

1978368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1978368000 is about 44478.8489059688. The cubic root of 1978368000 is about 1255.3621384199.

The spelling of 1978368000 in words is "one billion, nine hundred seventy-eight million, three hundred sixty-eight thousand".