387076560 has 160 divisors (see below), whose sum is σ = 1306583040. Its totient is φ = 94224384.

The previous prime is 387076517. The next prime is 387076561. The reversal of 387076560 is 65670783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387076561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302001 + ... + 303279.

It is an arithmetic number, because the mean of its divisors is an integer number (8166144).

Almost surely, 2^387076560 is an apocalyptic number.

387076560 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 387076560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653291520).

387076560 is an abundant number, since it is smaller than the sum of its proper divisors (919506480).

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

387076560 is a wasteful number, since it uses less digits than its factorization.

387076560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 387076560 is about 19674.2613584348. The cubic root of 387076560 is about 728.7842151035.

The spelling of 387076560 in words is "three hundred eighty-seven million, seventy-six thousand, five hundred sixty".