387920000 has 160 divisors (see below), whose sum is σ = 1042775580. Its totient is φ = 142848000.

The previous prime is 387919997. The next prime is 387920011. The reversal of 387920000 is 29783.

It can be written as a sum of positive squares in 10 ways, for example, as 75620416 + 312299584 = 8696^2 + 17672^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1039814 + ... + 1040186.

Almost surely, 2^387920000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521387790).

387920000 is an abundant number, since it is smaller than the sum of its proper divisors (654855580).

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

387920000 is an equidigital number, since it uses as much as digits as its factorization.

387920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 387920000 is about 19695.6848065763. The cubic root of 387920000 is about 729.3131714692.

Adding to 387920000 its reverse (29783), we get a palindrome (387949783).

The spelling of 387920000 in words is "three hundred eighty-seven million, nine hundred twenty thousand".