387879300 has 144 divisors (see below), whose sum is σ = 1312763200. Its totient is φ = 97977600.

The previous prime is 387879257. The next prime is 387879301. The reversal of 387879300 is 3978783.

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

It is not an unprimeable number, because it can be changed into a prime (387879301) 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 47 ways as a sum of consecutive naturals, for example, 47520 + ... + 55080.

Almost surely, 2^387879300 is an apocalyptic number.

387879300 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 387879300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656381600).

387879300 is an abundant number, since it is smaller than the sum of its proper divisors (924883900).

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

387879300 is a wasteful number, since it uses less digits than its factorization.

387879300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7603 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 387879300 is about 19694.6515582277. The cubic root of 387879300 is about 729.2876644194.

The spelling of 387879300 in words is "three hundred eighty-seven million, eight hundred seventy-nine thousand, three hundred".