387766400 has 144 divisors (see below), whose sum is σ = 1114747290. Its totient is φ = 132894720.

The previous prime is 387766399. The next prime is 387766409. The reversal of 387766400 is 4667783.

It can be written as a sum of positive squares in 3 ways, for example, as 327175744 + 60590656 = 18088^2 + 7784^2 .

It is not an unprimeable number, because it can be changed into a prime (387766409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 155564 + ... + 158036.

Almost surely, 2^387766400 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 387766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557373645).

387766400 is an abundant number, since it is smaller than the sum of its proper divisors (726980890).

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

387766400 is a wasteful number, since it uses less digits than its factorization.

387766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 387766400 is about 19691.7850892193. The cubic root of 387766400 is about 729.2168996504.

The spelling of 387766400 in words is "three hundred eighty-seven million, seven hundred sixty-six thousand, four hundred".