77227760 has 40 divisors (see below), whose sum is σ = 180591120. Its totient is φ = 30712832.

The previous prime is 77227697. The next prime is 77227763. The reversal of 77227760 is 6772277.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77227763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11624 + ... + 17016.

It is an arithmetic number, because the mean of its divisors is an integer number (4514778).

Almost surely, 2^77227760 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 77227760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90295560).

77227760 is an abundant number, since it is smaller than the sum of its proper divisors (103363360).

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

77227760 is a wasteful number, since it uses less digits than its factorization.

77227760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5585 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 38.

The square root of 77227760 is about 8787.9326351537. The cubic root of 77227760 is about 425.8511385953.

The spelling of 77227760 in words is "seventy-seven million, two hundred twenty-seven thousand, seven hundred sixty".