387083120 has 80 divisors (see below), whose sum is σ = 920217888. Its totient is φ = 151388160.

The previous prime is 387083107. The next prime is 387083189. The reversal of 387083120 is 21380783.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1377380 + ... + 1377660.

Almost surely, 2^387083120 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 387083120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460108944).

387083120 is an abundant number, since it is smaller than the sum of its proper divisors (533134768).

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

387083120 is a wasteful number, since it uses less digits than its factorization.

387083120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 387083120 is about 19674.4280730089. The cubic root of 387083120 is about 728.7883321163.

The spelling of 387083120 in words is "three hundred eighty-seven million, eighty-three thousand, one hundred twenty".