77360000 has 80 divisors (see below), whose sum is σ = 192782040. Its totient is φ = 30912000.

The previous prime is 77359993. The next prime is 77360021. The reversal of 77360000 is 6377.

It is a tau number, because it is divible by the number of its divisors (80).

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 9 ways as a sum of consecutive naturals, for example, 79517 + ... + 80483.

Almost surely, 2^77360000 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 77360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96391020).

77360000 is an abundant number, since it is smaller than the sum of its proper divisors (115422040).

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

77360000 is an frugal number, since it uses more digits than its factorization.

77360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 77360000 is about 8795.4533709184. The cubic root of 77360000 is about 426.0940669669.

Adding to 77360000 its reverse (6377), we get a palindrome (77366377).

The spelling of 77360000 in words is "seventy-seven million, three hundred sixty thousand".