77530320 has 120 divisors (see below), whose sum is σ = 297588096. Its totient is φ = 17720064.

The previous prime is 77530301. The next prime is 77530351. The reversal of 77530320 is 2303577.

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

It is a congruent number.

It is an unprimeable number.

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, 2652 + ... + 12731.

Almost surely, 2^77530320 is an apocalyptic number.

77530320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77530320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148794048).

77530320 is an abundant number, since it is smaller than the sum of its proper divisors (220057776).

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

77530320 is a wasteful number, since it uses less digits than its factorization.

77530320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15409 (or 15400 counting only the distinct ones).

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

The square root of 77530320 is about 8805.1303227153. The cubic root of 77530320 is about 426.4065417463.

Adding to 77530320 its reverse (2303577), we get a palindrome (79833897).

The spelling of 77530320 in words is "seventy-seven million, five hundred thirty thousand, three hundred twenty".