77320500 has 96 divisors (see below), whose sum is σ = 237095040. Its totient is φ = 19526400.

The previous prime is 77320487. The next prime is 77320501. The reversal of 77320500 is 502377.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77320501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27144 + ... + 29856.

It is an arithmetic number, because the mean of its divisors is an integer number (2469740).

Almost surely, 2^77320500 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 77320500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118547520).

77320500 is an abundant number, since it is smaller than the sum of its proper divisors (159774540).

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

77320500 is a wasteful number, since it uses less digits than its factorization.

77320500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 77320500 is about 8793.2076058740. The cubic root of 77320500 is about 426.0215334395.

Adding to 77320500 its reverse (502377), we get a palindrome (77822877).

The spelling of 77320500 in words is "seventy-seven million, three hundred twenty thousand, five hundred".