387276768 has 96 divisors (see below), whose sum is σ = 1141449120. Its totient is φ = 127733760.

The previous prime is 387276761. The next prime is 387276803. The reversal of 387276768 is 867672783.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387276761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81498 + ... + 86118.

It is an arithmetic number, because the mean of its divisors is an integer number (11890095).

Almost surely, 2^387276768 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 387276768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570724560).

387276768 is an abundant number, since it is smaller than the sum of its proper divisors (754172352).

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

387276768 is a wasteful number, since it uses less digits than its factorization.

387276768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737 (or 4723 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 387276768 is about 19679.3487697129. The cubic root of 387276768 is about 728.9098433782.

The spelling of 387276768 in words is "three hundred eighty-seven million, two hundred seventy-six thousand, seven hundred sixty-eight".