782075106 has 48 divisors (see below), whose sum is σ = 1800983808. Its totient is φ = 244425600.

The previous prime is 782075101. The next prime is 782075143. The reversal of 782075106 is 601570287.

782075106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×782075106² = 1223282942849822472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (782075101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78211 + ... + 87641.

It is an arithmetic number, because the mean of its divisors is an integer number (37520496).

Almost surely, 2^782075106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 782075106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900491904).

782075106 is an abundant number, since it is smaller than the sum of its proper divisors (1018908702).

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

782075106 is a wasteful number, since it uses less digits than its factorization.

782075106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9727 (or 9724 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 782075106 is about 27965.6057685150. The cubic root of 782075106 is about 921.3319970071.

The spelling of 782075106 in words is "seven hundred eighty-two million, seventy-five thousand, one hundred six".