77311680 has 112 divisors (see below), whose sum is σ = 254020320. Its totient is φ = 19898368.

The previous prime is 77311679. The next prime is 77311681. The reversal of 77311680 is 8611377.

It is an interprime number because it is at equal distance from previous prime (77311679) and next prime (77311681).

It is not an unprimeable number, because it can be changed into a prime (77311681) 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 15 ways as a sum of consecutive naturals, for example, 26452 + ... + 29228.

Almost surely, 2^77311680 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 77311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127010160).

77311680 is an abundant number, since it is smaller than the sum of its proper divisors (176708640).

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

77311680 is a wasteful number, since it uses less digits than its factorization.

77311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 77311680 is about 8792.7060680999. The cubic root of 77311680 is about 426.0053339719.

The spelling of 77311680 in words is "seventy-seven million, three hundred eleven thousand, six hundred eighty".