768764505420 has 144 divisors (see below), whose sum is σ = 2419735718400. Its totient is φ = 204881006016.

The previous prime is 768764505419. The next prime is 768764505437. The reversal of 768764505420 is 24505467867.

It is a happy number.

768764505420 is a `hidden beast` number, since 7 + 68 + 76 + 4 + 505 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8210589 + ... + 8303691.

Almost surely, 2^768764505420 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 768764505420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209867859200).

768764505420 is an abundant number, since it is smaller than the sum of its proper divisors (1650971212980).

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

768764505420 is a wasteful number, since it uses less digits than its factorization.

768764505420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94826 (or 94812 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 768764505420 in words is "seven hundred sixty-eight billion, seven hundred sixty-four million, five hundred five thousand, four hundred twenty".