162782080 has 64 divisors (see below), whose sum is σ = 396576000. Its totient is φ = 63870976.

The previous prime is 162782071. The next prime is 162782083. The reversal of 162782080 is 80287261.

162782080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162782083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31521 + ... + 36319.

It is an arithmetic number, because the mean of its divisors is an integer number (6196500).

Almost surely, 2^162782080 is an apocalyptic number.

162782080 is a gapful number since it is divisible by the number (10) 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 162782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198288000).

162782080 is an abundant number, since it is smaller than the sum of its proper divisors (233793920).

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

162782080 is an equidigital number, since it uses as much as digits as its factorization.

162782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4871 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 162782080 is about 12758.6080745511. The cubic root of 162782080 is about 546.0120129565.

The spelling of 162782080 in words is "one hundred sixty-two million, seven hundred eighty-two thousand, eighty".