768189040 has 20 divisors (see below), whose sum is σ = 1786039704. Its totient is φ = 307275584.

The previous prime is 768188999. The next prime is 768189041. The reversal of 768189040 is 40981867.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×768189040² = 1180228802352243200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768189041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4801102 + ... + 4801261.

Almost surely, 2^768189040 is an apocalyptic number.

It is an amenable number.

768189040 is an abundant number, since it is smaller than the sum of its proper divisors (1017850664).

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

768189040 is a wasteful number, since it uses less digits than its factorization.

768189040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9602376 (or 9602370 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 768189040 is about 27716.2234079609. The cubic root of 768189040 is about 915.8465256495.

It can be divided in two parts, 76818 and 9040, that added together give a palindrome (85858).

The spelling of 768189040 in words is "seven hundred sixty-eight million, one hundred eighty-nine thousand, forty".