387774720 has 216 divisors, whose sum is σ = 1376057592. Its totient is φ = 100761600.

The previous prime is 387774701. The next prime is 387774721. The reversal of 387774720 is 27477783.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 385415424 = 1536^2 + 19632^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387774721) 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 23 ways as a sum of consecutive naturals, for example, 471910 + ... + 472730.

It is an arithmetic number, because the mean of its divisors is an integer number (6370637).

Almost surely, 2^387774720 is an apocalyptic number.

387774720 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 387774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688028796).

387774720 is an abundant number, since it is smaller than the sum of its proper divisors (988282872).

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

387774720 is a wasteful number, since it uses less digits than its factorization.

387774720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The square root of 387774720 is about 19691.9963436925. The cubic root of 387774720 is about 729.2221150251. Note that the first 3 decimals are identical.

The spelling of 387774720 in words is "three hundred eighty-seven million, seven hundred seventy-four thousand, seven hundred twenty".