768183040 has 108 divisors (see below), whose sum is σ = 1895965344. Its totient is φ = 298074112.

The previous prime is 768182999. The next prime is 768183047. The reversal of 768183040 is 40381867.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (768183047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6798024 + ... + 6798136.

Almost surely, 2^768183040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947982672).

768183040 is an abundant number, since it is smaller than the sum of its proper divisors (1127782304).

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

768183040 is an equidigital number, since it uses as much as digits as its factorization.

768183040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 768183040 is about 27716.1151678947. The cubic root of 768183040 is about 915.8441412133.

The spelling of 768183040 in words is "seven hundred sixty-eight million, one hundred eighty-three thousand, forty".