77121200 has 60 divisors (see below), whose sum is σ = 199549728. Its totient is φ = 28473600.

The previous prime is 77121199. The next prime is 77121203. The reversal of 77121200 is 212177.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (77121203) 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 11 ways as a sum of consecutive naturals, for example, 2216 + ... + 12615.

Almost surely, 2^77121200 is an apocalyptic number.

It is an amenable number.

77121200 is an abundant number, since it is smaller than the sum of its proper divisors (122428528).

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

77121200 is a wasteful number, since it uses less digits than its factorization.

77121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14862 (or 14851 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 77121200 is about 8781.8676829021. The cubic root of 77121200 is about 425.6551832172.

Adding to 77121200 its reverse (212177), we get a palindrome (77333377).

The spelling of 77121200 in words is "seventy-seven million, one hundred twenty-one thousand, two hundred".