77673116160 has 400 divisors, whose sum is σ = 279991204416. Its totient is φ = 20579622912.

The previous prime is 77673116159. The next prime is 77673116167. The reversal of 77673116160 is 6161137677.

It is a super-2 number, since 2×77673116160² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (77673116167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34627999 + ... + 34630241.

Almost surely, 2^77673116160 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 77673116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139995602208).

77673116160 is an abundant number, since it is smaller than the sum of its proper divisors (202318088256).

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

77673116160 is a wasteful number, since it uses less digits than its factorization.

77673116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 77673116160 in words is "seventy-seven billion, six hundred seventy-three million, one hundred sixteen thousand, one hundred sixty".