387777 has 16 divisors (see below), whose sum is σ = 569408. Its totient is φ = 233280.

The previous prime is 387763. The next prime is 387781. The reversal of 387777 is 777783.

It is not a de Polignac number, because 387777 - 2¹² = 383681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (387707) 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, 2298 + ... + 2460.

It is an arithmetic number, because the mean of its divisors is an integer number (35588).

2³⁸⁷⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

387777 is a deficient number, since it is larger than the sum of its proper divisors (181631).

387777 is a wasteful number, since it uses less digits than its factorization.

387777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240.

The product of its digits is 57624, while the sum is 39.

The square root of 387777 is about 622.7174319063. The cubic root of 387777 is about 72.9223544225.

The spelling of 387777 in words is "three hundred eighty-seven thousand, seven hundred seventy-seven".