387777438720 has 2112 divisors, whose sum is σ = 1774267545600. Its totient is φ = 79705866240.

The previous prime is 387777438689. The next prime is 387777438721. The reversal of 387777438720 is 27834777783.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (387777438721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2960133055 + ... + 2960133185.

It is an arithmetic number, because the mean of its divisors is an integer number (840088800).

Almost surely, 2^387777438720 is an apocalyptic number.

387777438720 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 387777438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887133772800).

387777438720 is an abundant number, since it is smaller than the sum of its proper divisors (1386490106880).

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

387777438720 is a wasteful number, since it uses less digits than its factorization.

387777438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 77446656, while the sum is 63.

The spelling of 387777438720 in words is "three hundred eighty-seven billion, seven hundred seventy-seven million, four hundred thirty-eight thousand, seven hundred twenty".