387040768 has 80 divisors (see below), whose sum is σ = 835259040. Its totient is φ = 178487296.

The previous prime is 387040763. The next prime is 387040777. The reversal of 387040768 is 867040783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387040763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460893 + ... + 461731.

It is an arithmetic number, because the mean of its divisors is an integer number (10440738).

Almost surely, 2^387040768 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 387040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417629520).

387040768 is an abundant number, since it is smaller than the sum of its proper divisors (448218272).

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

387040768 is an equidigital number, since it uses as much as digits as its factorization.

387040768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 387040768 is about 19673.3517225713. The cubic root of 387040768 is about 728.7617514608.

The spelling of 387040768 in words is "three hundred eighty-seven million, forty thousand, seven hundred sixty-eight".