77546656 has 48 divisors (see below), whose sum is σ = 176359680. Its totient is φ = 33172480.

The previous prime is 77546653. The next prime is 77546669. The reversal of 77546656 is 65664577.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (77546653) 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 7 ways as a sum of consecutive naturals, for example, 496 + ... + 12463.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160).

Almost surely, 2^77546656 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 77546656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88179840).

77546656 is an abundant number, since it is smaller than the sum of its proper divisors (98813024).

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

77546656 is a wasteful number, since it uses less digits than its factorization.

77546656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12997 (or 12989 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 46.

The square root of 77546656 is about 8806.0579148675. The cubic root of 77546656 is about 426.4364882587.

The spelling of 77546656 in words is "seventy-seven million, five hundred forty-six thousand, six hundred fifty-six".