77818680 has 192 divisors, whose sum is σ = 275558400. Its totient is φ = 18973440.

The previous prime is 77818679. The next prime is 77818721. The reversal of 77818680 is 8681877.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 211857 + ... + 212223.

It is an arithmetic number, because the mean of its divisors is an integer number (1435200).

Almost surely, 2^77818680 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 77818680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137779200).

77818680 is an abundant number, since it is smaller than the sum of its proper divisors (197739720).

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

77818680 is a wasteful number, since it uses less digits than its factorization.

77818680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 77818680 is about 8821.4896701181. The cubic root of 77818680 is about 426.9345350261.

It can be divided in two parts, 7781 and 8680, that added together give a palindrome (16461).

The spelling of 77818680 in words is "seventy-seven million, eight hundred eighteen thousand, six hundred eighty".