384802782 has 128 divisors (see below), whose sum is σ = 1018752000. Its totient is φ = 96018048.

The previous prime is 384802777. The next prime is 384802793. The reversal of 384802782 is 287208483.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507948 + ... + 508704.

It is an arithmetic number, because the mean of its divisors is an integer number (7959000).

Almost surely, 2^384802782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384802782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509376000).

384802782 is an abundant number, since it is smaller than the sum of its proper divisors (633949218).

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

384802782 is a wasteful number, since it uses less digits than its factorization.

384802782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 384802782 is about 19616.3906465996. The cubic root of 384802782 is about 727.3543955835.

The spelling of 384802782 in words is "three hundred eighty-four million, eight hundred two thousand, seven hundred eighty-two".