387766560 has 96 divisors (see below), whose sum is σ = 1231276032. Its totient is φ = 102574080.

The previous prime is 387766559. The next prime is 387766567. The reversal of 387766560 is 65667783.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×387766560³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (387766567) 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 15 ways as a sum of consecutive naturals, for example, 57780 + ... + 64140.

It is an arithmetic number, because the mean of its divisors is an integer number (12825792).

Almost surely, 2^387766560 is an apocalyptic number.

387766560 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 387766560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615638016).

387766560 is an abundant number, since it is smaller than the sum of its proper divisors (843509472).

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

387766560 is a wasteful number, since it uses less digits than its factorization.

387766560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6506 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 387766560 is about 19691.7891518267. The cubic root of 387766560 is about 729.2169999468.

The spelling of 387766560 in words is "three hundred eighty-seven million, seven hundred sixty-six thousand, five hundred sixty".