77464316160 has 1296 divisors, whose sum is σ = 357252674688. Its totient is φ = 15117189120.

The previous prime is 77464316147. The next prime is 77464316201. The reversal of 77464316160 is 6161346477.

77464316160 is a `hidden beast` number, since 77 + 464 + 3 + 1 + 61 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 165876247 + ... + 165876713.

It is an arithmetic number, because the mean of its divisors is an integer number (275657928).

Almost surely, 2^77464316160 is an apocalyptic number.

77464316160 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 77464316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178626337344).

77464316160 is an abundant number, since it is smaller than the sum of its proper divisors (279788358528).

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

77464316160 is a wasteful number, since it uses less digits than its factorization.

77464316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 77464316160 in words is "seventy-seven billion, four hundred sixty-four million, three hundred sixteen thousand, one hundred sixty".