77350320 has 120 divisors (see below), whose sum is σ = 264800016. Its totient is φ = 20227584.

The previous prime is 77350319. The next prime is 77350321. The reversal of 77350320 is 2305377.

It is an interprime number because it is at equal distance from previous prime (77350319) and next prime (77350321).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (77350321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37147 + ... + 39173.

Almost surely, 2^77350320 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 77350320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132400008).

77350320 is an abundant number, since it is smaller than the sum of its proper divisors (187449696).

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

77350320 is a wasteful number, since it uses less digits than its factorization.

77350320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 77350320 is about 8794.9030693920. The cubic root of 77350320 is about 426.0762939463.

Adding to 77350320 its reverse (2305377), we get a palindrome (79655697).

The spelling of 77350320 in words is "seventy-seven million, three hundred fifty thousand, three hundred twenty".