77695560 has 192 divisors, whose sum is σ = 273873600. Its totient is φ = 19035648.

The previous prime is 77695543. The next prime is 77695561. The reversal of 77695560 is 6559677.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77695561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252927 + ... + 253233.

It is an arithmetic number, because the mean of its divisors is an integer number (1426425).

Almost surely, 2^77695560 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 77695560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136936800).

77695560 is an abundant number, since it is smaller than the sum of its proper divisors (196178040).

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

77695560 is a wasteful number, since it uses less digits than its factorization.

77695560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 77695560 is about 8814.5084945220. The cubic root of 77695560 is about 426.7092595283.

The spelling of 77695560 in words is "seventy-seven million, six hundred ninety-five thousand, five hundred sixty".