77316200 has 96 divisors (see below), whose sum is σ = 195924960. Its totient is φ = 28204800.

The previous prime is 77316181. The next prime is 77316209. The reversal of 77316200 is 261377.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 77316200.

It is not an unprimeable number, because it can be changed into a prime (77316209) 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, 340487 + ... + 340713.

It is an arithmetic number, because the mean of its divisors is an integer number (2040885).

Almost surely, 2^77316200 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 77316200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97962480).

77316200 is an abundant number, since it is smaller than the sum of its proper divisors (118608760).

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

77316200 is a wasteful number, since it uses less digits than its factorization.

77316200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 77316200 is about 8792.9630955668. The cubic root of 77316200 is about 426.0136358938.

Adding to 77316200 its reverse (261377), we get a palindrome (77577577).

It can be divided in two parts, 7731 and 6200, that added together give a palindrome (13931).

The spelling of 77316200 in words is "seventy-seven million, three hundred sixteen thousand, two hundred".