77744320 has 56 divisors (see below), whose sum is σ = 186683904. Its totient is φ = 30836736.

The previous prime is 77744279. The next prime is 77744353. The reversal of 77744320 is 2344777.

It is a happy number.

It is a nialpdrome in base 10.

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, 39684 + ... + 41596.

Almost surely, 2^77744320 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 77744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93341952).

77744320 is an abundant number, since it is smaller than the sum of its proper divisors (108939584).

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

77744320 is a wasteful number, since it uses less digits than its factorization.

77744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 34.

The square root of 77744320 is about 8817.2739551406. The cubic root of 77744320 is about 426.7985052651.

The spelling of 77744320 in words is "seventy-seven million, seven hundred forty-four thousand, three hundred twenty".