387600720 has 80 divisors (see below), whose sum is σ = 1294000512. Its totient is φ = 95408640.

The previous prime is 387600683. The next prime is 387600737. The reversal of 387600720 is 27006783.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58996 + ... + 65235.

Almost surely, 2^387600720 is an apocalyptic number.

387600720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

387600720 is an abundant number, since it is smaller than the sum of its proper divisors (906399792).

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

387600720 is a wasteful number, since it uses less digits than its factorization.

387600720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124260 (or 124254 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 387600720 is about 19687.5778093700. The cubic root of 387600720 is about 729.1130279491.

The spelling of 387600720 in words is "three hundred eighty-seven million, six hundred thousand, seven hundred twenty".