768254000 has 80 divisors (see below), whose sum is σ = 1865612736. Its totient is φ = 305984000.

The previous prime is 768253991. The next prime is 768254041. The reversal of 768254000 is 452867.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561317 + ... + 562683.

Almost surely, 2^768254000 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 768254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932806368).

768254000 is an abundant number, since it is smaller than the sum of its proper divisors (1097358736).

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

768254000 is a wasteful number, since it uses less digits than its factorization.

768254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 768254000 is about 27717.3952600168. The cubic root of 768254000 is about 915.8723403515.

The spelling of 768254000 in words is "seven hundred sixty-eight million, two hundred fifty-four thousand".