77041314 has 128 divisors (see below), whose sum is σ = 218419200. Its totient is φ = 19595520.

The previous prime is 77041301. The next prime is 77041339. The reversal of 77041314 is 41314077.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 121779 + ... + 122409.

It is an arithmetic number, because the mean of its divisors is an integer number (1706400).

Almost surely, 2^77041314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77041314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109209600).

77041314 is an abundant number, since it is smaller than the sum of its proper divisors (141377886).

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

77041314 is a wasteful number, since it uses less digits than its factorization.

77041314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 77041314 is about 8777.3181553365. The cubic root of 77041314 is about 425.5081607914.

The spelling of 77041314 in words is "seventy-seven million, forty-one thousand, three hundred fourteen".