387077800 has 48 divisors (see below), whose sum is σ = 912664800. Its totient is φ = 152644800.

The previous prime is 387077797. The next prime is 387077807. The reversal of 387077800 is 8770783.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (387077807) 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 11 ways as a sum of consecutive naturals, for example, 571 + ... + 27829.

It is an arithmetic number, because the mean of its divisors is an integer number (19013850).

Almost surely, 2^387077800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387077800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456332400).

387077800 is an abundant number, since it is smaller than the sum of its proper divisors (525587000).

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

387077800 is a wasteful number, since it uses less digits than its factorization.

387077800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27346 (or 27337 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The square root of 387077800 is about 19674.2928716638. The cubic root of 387077800 is about 728.7849933229.

The spelling of 387077800 in words is "three hundred eighty-seven million, seventy-seven thousand, eight hundred".