387532080 has 320 divisors, whose sum is σ = 1480321920. Its totient is φ = 92565504.

The previous prime is 387532069. The next prime is 387532081. The reversal of 387532080 is 80235783.

It is a super-2 number, since 2×387532080² = 300362226058252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (387532081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1038774 + ... + 1039146.

It is an arithmetic number, because the mean of its divisors is an integer number (4626006).

Almost surely, 2^387532080 is an apocalyptic number.

387532080 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 387532080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740160960).

387532080 is an abundant number, since it is smaller than the sum of its proper divisors (1092789840).

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

387532080 is a wasteful number, since it uses less digits than its factorization.

387532080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 387532080 is about 19685.8345009806. The cubic root of 387532080 is about 729.0699859988.

The spelling of 387532080 in words is "three hundred eighty-seven million, five hundred thirty-two thousand, eighty".