768429000 has 96 divisors (see below), whose sum is σ = 2597320440. Its totient is φ = 204912000.

The previous prime is 768428981. The next prime is 768429001. The reversal of 768429000 is 924867.

It can be written as a sum of positive squares in 4 ways, for example, as 77475204 + 690953796 = 8802^2 + 26286^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (768429001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33691 + ... + 51690.

Almost surely, 2^768429000 is an apocalyptic number.

It is an amenable number.

768429000 is an abundant number, since it is smaller than the sum of its proper divisors (1828891440).

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

768429000 is a wasteful number, since it uses less digits than its factorization.

768429000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85408 (or 85391 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 768429000 is about 27720.5519425570. The cubic root of 768429000 is about 915.9418770287.

The spelling of 768429000 in words is "seven hundred sixty-eight million, four hundred twenty-nine thousand".