77313680 has 40 divisors (see below), whose sum is σ = 180792000. Its totient is φ = 30747008.

The previous prime is 77313647. The next prime is 77313701. The reversal of 77313680 is 8631377.

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

It is a self number, because there is not a number n which added to its sum of digits gives 77313680.

It is an unprimeable number.

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, 11621 + ... + 17019.

It is an arithmetic number, because the mean of its divisors is an integer number (4519800).

Almost surely, 2^77313680 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 77313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90396000).

77313680 is an abundant number, since it is smaller than the sum of its proper divisors (103478320).

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

77313680 is a wasteful number, since it uses less digits than its factorization.

77313680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 77313680 is about 8792.8197979943. The cubic root of 77313680 is about 426.0090074285.

It can be divided in two parts, 7731 and 3680, that added together give a palindrome (11411).

The spelling of 77313680 in words is "seventy-seven million, three hundred thirteen thousand, six hundred eighty".