77768704 has 96 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 34062336.

The previous prime is 77768701. The next prime is 77768711. The reversal of 77768704 is 40786777.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77768701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 612289 + ... + 612415.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^77768704 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 77768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

77768704 is an abundant number, since it is smaller than the sum of its proper divisors (98349056).

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

77768704 is a wasteful number, since it uses less digits than its factorization.

77768704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 46.

The square root of 77768704 is about 8818.6565870318. The cubic root of 77768704 is about 426.8431214587.

The spelling of 77768704 in words is "seventy-seven million, seven hundred sixty-eight thousand, seven hundred four".