388766880 has 144 divisors (see below), whose sum is σ = 1404794664. Its totient is φ = 97566720.

The previous prime is 388766849. The next prime is 388766933. The reversal of 388766880 is 88667883.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 387774864 + 992016 = 19692^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×388766880² = 302279373969868800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16540 + ... + 32420.

Almost surely, 2^388766880 is an apocalyptic number.

388766880 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 388766880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702397332).

388766880 is an abundant number, since it is smaller than the sum of its proper divisors (1016027784).

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

388766880 is a wasteful number, since it uses less digits than its factorization.

388766880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15919 (or 15908 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 388766880 is about 19717.1722110449. The cubic root of 388766880 is about 729.8435143402.

The spelling of 388766880 in words is "three hundred eighty-eight million, seven hundred sixty-six thousand, eight hundred eighty".