392782080 has 144 divisors (see below), whose sum is σ = 1262701440. Its totient is φ = 104054784.

The previous prime is 392782051. The next prime is 392782087. The reversal of 392782080 is 80287293.

It is not an unprimeable number, because it can be changed into a prime (392782087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 894501 + ... + 894939.

It is an arithmetic number, because the mean of its divisors is an integer number (8768760).

Almost surely, 2^392782080 is an apocalyptic number.

392782080 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 392782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631350720).

392782080 is an abundant number, since it is smaller than the sum of its proper divisors (869919360).

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

392782080 is a wasteful number, since it uses less digits than its factorization.

392782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 392782080 is about 19818.7305345221. The cubic root of 392782080 is about 732.3475312351.

The spelling of 392782080 in words is "three hundred ninety-two million, seven hundred eighty-two thousand, eighty".