768123642 has 64 divisors (see below), whose sum is σ = 1863106560. Its totient is φ = 207921600.

The previous prime is 768123623. The next prime is 768123683. The reversal of 768123642 is 246321867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 768123642.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12159 + ... + 41037.

It is an arithmetic number, because the mean of its divisors is an integer number (29111040).

Almost surely, 2^768123642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768123642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931553280).

768123642 is an abundant number, since it is smaller than the sum of its proper divisors (1094982918).

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

768123642 is a wasteful number, since it uses less digits than its factorization.

768123642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28939.

The product of its digits is 96768, while the sum is 39.

The square root of 768123642 is about 27715.0436045120. The cubic root of 768123642 is about 915.8205354190.

The spelling of 768123642 in words is "seven hundred sixty-eight million, one hundred twenty-three thousand, six hundred forty-two".