387778752 has 280 divisors, whose sum is σ = 1258864640. Its totient is φ = 117573120.

The previous prime is 387778751. The next prime is 387778757. The reversal of 387778752 is 257877783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (387778751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3053313 + ... + 3053439.

Almost surely, 2^387778752 is an apocalyptic number.

387778752 is a gapful number since it is divisible by the number (32) 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 387778752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629432320).

387778752 is an abundant number, since it is smaller than the sum of its proper divisors (871085888).

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

387778752 is a wasteful number, since it uses less digits than its factorization.

387778752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its digits is 4609920, while the sum is 54.

The square root of 387778752 is about 19692.0987200451. The cubic root of 387778752 is about 729.2246424491.

The spelling of 387778752 in words is "three hundred eighty-seven million, seven hundred seventy-eight thousand, seven hundred fifty-two".