387766764 has 252 divisors, whose sum is σ = 1286224912. Its totient is φ = 100077120.

The previous prime is 387766751. The next prime is 387766783. The reversal of 387766764 is 467667783.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 387766764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2469774 + ... + 2469930.

Almost surely, 2^387766764 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 387766764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643112456).

387766764 is an abundant number, since it is smaller than the sum of its proper divisors (898458148).

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

387766764 is a wasteful number, since it uses less digits than its factorization.

387766764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 387766764 is about 19691.7943316499. The cubic root of 387766764 is about 729.2171278246.

The spelling of 387766764 in words is "three hundred eighty-seven million, seven hundred sixty-six thousand, seven hundred sixty-four".