77944320 has 240 divisors, whose sum is σ = 287258400. Its totient is φ = 19464192.

The previous prime is 77944301. The next prime is 77944333. The reversal of 77944320 is 2344977.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391581 + ... + 391779.

It is an arithmetic number, because the mean of its divisors is an integer number (1196910).

Almost surely, 2^77944320 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 77944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143629200).

77944320 is an abundant number, since it is smaller than the sum of its proper divisors (209314080).

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

77944320 is a wasteful number, since it uses less digits than its factorization.

77944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 77944320 is about 8828.6080443069. The cubic root of 77944320 is about 427.1641766030.

The spelling of 77944320 in words is "seventy-seven million, nine hundred forty-four thousand, three hundred twenty".