768770000 has 100 divisors (see below), whose sum is σ = 1894268640. Its totient is φ = 302064000.

The previous prime is 768769999. The next prime is 768770017. The reversal of 768770000 is 77867.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 589349 + ... + 590651.

Almost surely, 2^768770000 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 768770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947134320).

768770000 is an abundant number, since it is smaller than the sum of its proper divisors (1125498640).

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

768770000 is a wasteful number, since it uses less digits than its factorization.

768770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The square root of 768770000 is about 27726.7019315316. The cubic root of 768770000 is about 916.0773438884.

The spelling of 768770000 in words is "seven hundred sixty-eight million, seven hundred seventy thousand".