768446300160 has 1600 divisors, whose sum is σ = 3507911193600. Its totient is φ = 156279767040.

The previous prime is 768446300143. The next prime is 768446300179. The reversal of 768446300160 is 61003644867.

It is a happy number.

768446300160 is a `hidden beast` number, since 7 + 6 + 8 + 4 + 4 + 630 + 0 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16349921257 + ... + 16349921303.

It is an arithmetic number, because the mean of its divisors is an integer number (2192444496).

Almost surely, 2^768446300160 is an apocalyptic number.

768446300160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768446300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753955596800).

768446300160 is an abundant number, since it is smaller than the sum of its proper divisors (2739464893440).

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

768446300160 is an frugal number, since it uses more digits than its factorization.

768446300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 768446300160 in words is "seven hundred sixty-eight billion, four hundred forty-six million, three hundred thousand, one hundred sixty".