77275656 has 96 divisors (see below), whose sum is σ = 216084960. Its totient is φ = 24938496.

The previous prime is 77275651. The next prime is 77275669. The reversal of 77275656 is 65657277.

It is not an unprimeable number, because it can be changed into a prime (77275651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400296 + ... + 400488.

It is an arithmetic number, because the mean of its divisors is an integer number (2250885).

Almost surely, 2^77275656 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 77275656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108042480).

77275656 is an abundant number, since it is smaller than the sum of its proper divisors (138809304).

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

77275656 is a wasteful number, since it uses less digits than its factorization.

77275656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 77275656 is about 8790.6573133071. The cubic root of 77275656 is about 425.9391568200.

The spelling of 77275656 in words is "seventy-seven million, two hundred seventy-five thousand, six hundred fifty-six".