1920768000 has 384 divisors, whose sum is σ = 6653949120. Its totient is φ = 491520000.

The previous prime is 1920767983. The next prime is 1920768037. The reversal of 1920768000 is 8670291.

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

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, 31487970 + ... + 31488030.

Almost surely, 2^1920768000 is an apocalyptic number.

1920768000 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 1920768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326974560).

1920768000 is an abundant number, since it is smaller than the sum of its proper divisors (4733181120).

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

1920768000 is an equidigital number, since it uses as much as digits as its factorization.

1920768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1920768000 is about 43826.5672851525. The cubic root of 1920768000 is about 1243.0586993576.

It can be divided in two parts, 1920 and 768000, that multiplied together give a square (1474560000 = 38400²).

The spelling of 1920768000 in words is "one billion, nine hundred twenty million, seven hundred sixty-eight thousand".