1578800160 has 288 divisors, whose sum is σ = 6386470272. Its totient is φ = 360806400.

The previous prime is 1578800143. The next prime is 1578800203. The reversal of 1578800160 is 610088751.

1578800160 is a `hidden beast` number, since 1 + 578 + 80 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269260 + ... + 275060.

It is an arithmetic number, because the mean of its divisors is an integer number (22175244).

Almost surely, 2^1578800160 is an apocalyptic number.

1578800160 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 1578800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193235136).

1578800160 is an abundant number, since it is smaller than the sum of its proper divisors (4807670112).

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

1578800160 is an equidigital number, since it uses as much as digits as its factorization.

1578800160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1578800160 is about 39734.1183367644. The cubic root of 1578800160 is about 1164.4183850436.

The spelling of 1578800160 in words is "one billion, five hundred seventy-eight million, eight hundred thousand, one hundred sixty".