387880800 has 144 divisors (see below), whose sum is σ = 1306322640. Its totient is φ = 99850240.

The previous prime is 387880781. The next prime is 387880807. The reversal of 387880800 is 8088783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387880807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66814 + ... + 72386.

It is an arithmetic number, because the mean of its divisors is an integer number (9071685).

Almost surely, 2^387880800 is an apocalyptic number.

387880800 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 387880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653161320).

387880800 is an abundant number, since it is smaller than the sum of its proper divisors (918441840).

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

387880800 is a wasteful number, since it uses less digits than its factorization.

387880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5625 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 387880800 is about 19694.6896395957. The cubic root of 387880800 is about 729.2886045143.

The spelling of 387880800 in words is "three hundred eighty-seven million, eight hundred eighty thousand, eight hundred".