768042 has 40 divisors (see below), whose sum is σ = 1881792. Its totient is φ = 232200.

The previous prime is 768041. The next prime is 768049. The reversal of 768042 is 240867.

768042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 767997 and 768015.

It is not an unprimeable number, because it can be changed into a prime (768041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1567 + ... + 1997.

2⁷⁶⁸⁰⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940896).

768042 is an abundant number, since it is smaller than the sum of its proper divisors (1113750).

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

768042 is a wasteful number, since it uses less digits than its factorization.

768042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 768042 is about 876.3800545425. The cubic root of 768042 is about 91.5788087488.

It can be divided in two parts, 76 and 8042, that added together give a palindrome (8118).

The spelling of 768042 in words is "seven hundred sixty-eight thousand, forty-two".