387830784 has 176 divisors, whose sum is σ = 1179072000. Its totient is φ = 112189440.

The previous prime is 387830783. The next prime is 387830791. The reversal of 387830784 is 487038783.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387830783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 776967 + ... + 777465.

Almost surely, 2^387830784 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 387830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589536000).

387830784 is an abundant number, since it is smaller than the sum of its proper divisors (791241216).

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

387830784 is a wasteful number, since it uses less digits than its factorization.

387830784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 387830784 is about 19693.4198147503. The cubic root of 387830784 is about 729.2572566821.

The spelling of 387830784 in words is "three hundred eighty-seven million, eight hundred thirty thousand, seven hundred eighty-four".