387782820 has 72 divisors (see below), whose sum is σ = 1178888256. Its totient is φ = 103179072.

The previous prime is 387782807. The next prime is 387782827. The reversal of 387782820 is 28287783.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (387782827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88399 + ... + 92681.

It is an arithmetic number, because the mean of its divisors is an integer number (16373448).

Almost surely, 2^387782820 is an apocalyptic number.

387782820 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 387782820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589444128).

387782820 is an abundant number, since it is smaller than the sum of its proper divisors (791105436).

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

387782820 is a wasteful number, since it uses less digits than its factorization.

387782820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4801 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 387782820 is about 19692.2020099328. The cubic root of 387782820 is about 729.2271924216.

The spelling of 387782820 in words is "three hundred eighty-seven million, seven hundred eighty-two thousand, eight hundred twenty".