77145384960 has 1152 divisors, whose sum is σ = 327402915840. Its totient is φ = 17055940608.

The previous prime is 77145384931. The next prime is 77145384977. The reversal of 77145384960 is 6948354177.

77145384960 is a `hidden beast` number, since 7 + 7 + 1 + 4 + 538 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 77145384897 and 77145384906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 748984269 + ... + 748984371.

It is an arithmetic number, because the mean of its divisors is an integer number (284203920).

Almost surely, 2^77145384960 is an apocalyptic number.

77145384960 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 77145384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163701457920).

77145384960 is an abundant number, since it is smaller than the sum of its proper divisors (250257530880).

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

77145384960 is a wasteful number, since it uses less digits than its factorization.

77145384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 77145384960 in words is "seventy-seven billion, one hundred forty-five million, three hundred eighty-four thousand, nine hundred sixty".