768535780050 has 120 divisors (see below), whose sum is σ = 2137457836800. Its totient is φ = 204744503520.

The previous prime is 768535780021. The next prime is 768535780079. The reversal of 768535780050 is 50087535867.

768535780050 is a `hidden beast` number, since 7 + 68 + 5 + 3 + 578 + 0 + 0 + 5 + 0 = 666.

768535780050 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (768535780021) and next prime (768535780079).

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 59 ways as a sum of consecutive naturals, for example, 4116631 + ... + 4299269.

It is an arithmetic number, because the mean of its divisors is an integer number (17812148640).

Almost surely, 2^768535780050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768535780050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068728918400).

768535780050 is an abundant number, since it is smaller than the sum of its proper divisors (1368922056750).

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

768535780050 is a wasteful number, since it uses less digits than its factorization.

768535780050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183702 (or 183688 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 768535780050 in words is "seven hundred sixty-eight billion, five hundred thirty-five million, seven hundred eighty thousand, fifty".