77160217680 has 1680 divisors, whose sum is σ = 353016405504. Its totient is φ = 15519651840.

The previous prime is 77160217657. The next prime is 77160217699. The reversal of 77160217680 is 8671206177.

It is a tau number, because it is divible by the number of its divisors (1680).

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 335 ways as a sum of consecutive naturals, for example, 1151645007 + ... + 1151645073.

Almost surely, 2^77160217680 is an apocalyptic number.

77160217680 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 77160217680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176508202752).

77160217680 is an abundant number, since it is smaller than the sum of its proper divisors (275856187824).

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

77160217680 is a wasteful number, since it uses less digits than its factorization.

77160217680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 77160217680 in words is "seventy-seven billion, one hundred sixty million, two hundred seventeen thousand, six hundred eighty".