77468160 has 320 divisors, whose sum is σ = 311122944. Its totient is φ = 15974400.

The previous prime is 77468129. The next prime is 77468179. The reversal of 77468160 is 6186477.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591295 + ... + 591425.

Almost surely, 2^77468160 is an apocalyptic number.

77468160 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 77468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155561472).

77468160 is an abundant number, since it is smaller than the sum of its proper divisors (233654784).

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

77468160 is a wasteful number, since it uses less digits than its factorization.

77468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 77468160 is about 8801.5998545719. The cubic root of 77468160 is about 426.2925540084.

The spelling of 77468160 in words is "seventy-seven million, four hundred sixty-eight thousand, one hundred sixty".