77821160 has 64 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 29767680.

The previous prime is 77821153. The next prime is 77821171. The reversal of 77821160 is 6112877.

It is a super-2 number, since 2×77821160² = 12112265887491200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 119957 + ... + 120603.

It is an arithmetic number, because the mean of its divisors is an integer number (2857680).

Almost surely, 2^77821160 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 77821160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

77821160 is an abundant number, since it is smaller than the sum of its proper divisors (105070360).

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

77821160 is a wasteful number, since it uses less digits than its factorization.

77821160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 77821160 is about 8821.6302348262. The cubic root of 77821160 is about 426.9390702971.

The spelling of 77821160 in words is "seventy-seven million, eight hundred twenty-one thousand, one hundred sixty".