387761880 has 128 divisors (see below), whose sum is σ = 1335916800. Its totient is φ = 89049600.

The previous prime is 387761879. The next prime is 387761893. The reversal of 387761880 is 88167783.

It is a super-2 number, since 2×387761880² = 300718551162268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17350 + ... + 32810.

It is an arithmetic number, because the mean of its divisors is an integer number (10436850).

Almost surely, 2^387761880 is an apocalyptic number.

387761880 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 387761880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667958400).

387761880 is an abundant number, since it is smaller than the sum of its proper divisors (948154920).

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

387761880 is a wasteful number, since it uses less digits than its factorization.

387761880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15505 (or 15501 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 387761880 is about 19691.6703202141. The cubic root of 387761880 is about 729.2140662666.

It can be divided in two parts, 387 and 761880, that added together give a palindrome (762267).

The spelling of 387761880 in words is "three hundred eighty-seven million, seven hundred sixty-one thousand, eight hundred eighty".