77346414 has 48 divisors (see below), whose sum is σ = 176707440. Its totient is φ = 25349760.

The previous prime is 77346407. The next prime is 77346419. The reversal of 77346414 is 41464377.

It is a happy number.

77346414 is a `hidden beast` number, since 7 + 7 + 3 + 4 + 641 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77346419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28342 + ... + 30950.

It is an arithmetic number, because the mean of its divisors is an integer number (3681405).

Almost surely, 2^77346414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77346414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88353720).

77346414 is an abundant number, since it is smaller than the sum of its proper divisors (99361026).

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

77346414 is a wasteful number, since it uses less digits than its factorization.

77346414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2675 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 77346414 is about 8794.6810061537. The cubic root of 77346414 is about 426.0691218923.

The spelling of 77346414 in words is "seventy-seven million, three hundred forty-six thousand, four hundred fourteen".