77421200 has 120 divisors (see below), whose sum is σ = 200195520. Its totient is φ = 28684800.

The previous prime is 77421187. The next prime is 77421203. The reversal of 77421200 is 212477.

It is not an unprimeable number, because it can be changed into a prime (77421203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463517 + ... + 463683.

It is an arithmetic number, because the mean of its divisors is an integer number (1668296).

Almost surely, 2^77421200 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 77421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100097760).

77421200 is an abundant number, since it is smaller than the sum of its proper divisors (122774320).

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

77421200 is a wasteful number, since it uses less digits than its factorization.

77421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 77421200 is about 8798.9317533437. The cubic root of 77421200 is about 426.2063992806.

Adding to 77421200 its reverse (212477), we get a palindrome (77633677).

The spelling of 77421200 in words is "seventy-seven million, four hundred twenty-one thousand, two hundred".