768169000 has 32 divisors (see below), whose sum is σ = 1797517800. Its totient is φ = 307267200.

The previous prime is 768168997. The next prime is 768169007. The reversal of 768169000 is 961867.

It can be written as a sum of positive squares in 4 ways, for example, as 291794724 + 476374276 = 17082^2 + 21826^2 .

It is a super-2 number, since 2×768169000² = 1180167225122000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (768169007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383085 + ... + 385084.

Almost surely, 2^768169000 is an apocalyptic number.

It is an amenable number.

768169000 is an abundant number, since it is smaller than the sum of its proper divisors (1029348800).

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

768169000 is a wasteful number, since it uses less digits than its factorization.

768169000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768190 (or 768176 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 768169000 is about 27715.8618844877. The cubic root of 768169000 is about 915.8385615838.

The spelling of 768169000 in words is "seven hundred sixty-eight million, one hundred sixty-nine thousand".