77744064 has 56 divisors (see below), whose sum is σ = 209214720. Its totient is φ = 25471744.

The previous prime is 77744039. The next prime is 77744083. The reversal of 77744064 is 46044777.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7897 + ... + 14759.

Almost surely, 2^77744064 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 77744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104607360).

77744064 is an abundant number, since it is smaller than the sum of its proper divisors (131470656).

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

77744064 is a wasteful number, since it uses less digits than its factorization.

77744064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6937 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 77744064 is about 8817.2594381701. The cubic root of 77744064 is about 426.7980368041.

The spelling of 77744064 in words is "seventy-seven million, seven hundred forty-four thousand, sixty-four".