77852160 has 240 divisors, whose sum is σ = 280874880. Its totient is φ = 19906560.

The previous prime is 77852123. The next prime is 77852161. The reversal of 77852160 is 6125877.

77852160 is a `hidden beast` number, since 7 + 78 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77852161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714186 + ... + 714294.

It is an arithmetic number, because the mean of its divisors is an integer number (1170312).

Almost surely, 2^77852160 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 77852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140437440).

77852160 is an abundant number, since it is smaller than the sum of its proper divisors (203022720).

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

77852160 is a wasteful number, since it uses less digits than its factorization.

77852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 77852160 is about 8823.3871047348. The cubic root of 77852160 is about 426.9957530561.

The spelling of 77852160 in words is "seventy-seven million, eight hundred fifty-two thousand, one hundred sixty".