77353344 has 96 divisors (see below), whose sum is σ = 225552600. Its totient is φ = 25442304.

The previous prime is 77353327. The next prime is 77353369. The reversal of 77353344 is 44335377.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 77353299 and 77353308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95212 + ... + 96020.

Almost surely, 2^77353344 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 77353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112776300).

77353344 is an abundant number, since it is smaller than the sum of its proper divisors (148199256).

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

77353344 is a wasteful number, since it uses less digits than its factorization.

77353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 897 counting only the distinct ones).

The product of its digits is 105840, while the sum is 36.

The square root of 77353344 is about 8795.0749854677. The cubic root of 77353344 is about 426.0818463385.

The spelling of 77353344 in words is "seventy-seven million, three hundred fifty-three thousand, three hundred forty-four".