387766080 has 168 divisors, whose sum is σ = 1436488872. Its totient is φ = 95440896.

The previous prime is 387766063. The next prime is 387766091. The reversal of 387766080 is 80667783.

387766080 is a `hidden beast` number, since 38 + 7 + 7 + 6 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6110784 + 381655296 = 2472^2 + 19536^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32262 + ... + 42618.

It is an arithmetic number, because the mean of its divisors is an integer number (8550529).

Almost surely, 2^387766080 is an apocalyptic number.

387766080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718244436).

387766080 is an abundant number, since it is smaller than the sum of its proper divisors (1048722792).

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

387766080 is a wasteful number, since it uses less digits than its factorization.

387766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10393 (or 10380 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 387766080 is about 19691.7769640020. The cubic root of 387766080 is about 729.2166990576.

The spelling of 387766080 in words is "three hundred eighty-seven million, seven hundred sixty-six thousand, eighty".