77440314 has 64 divisors (see below), whose sum is σ = 189941760. Its totient is φ = 20554560.

The previous prime is 77440313. The next prime is 77440357. The reversal of 77440314 is 41304477.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77440313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41379 + ... + 43209.

It is an arithmetic number, because the mean of its divisors is an integer number (2967840).

Almost surely, 2^77440314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77440314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94970880).

77440314 is an abundant number, since it is smaller than the sum of its proper divisors (112501446).

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

77440314 is a wasteful number, since it uses less digits than its factorization.

77440314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915.

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 77440314 is about 8800.0178408910. The cubic root of 77440314 is about 426.2414708062.

It can be divided in two parts, 77 and 440314, that added together give a triangular number (440391 = T₉₃₈).

The spelling of 77440314 in words is "seventy-seven million, four hundred forty thousand, three hundred fourteen".