77141100 has 72 divisors (see below), whose sum is σ = 227985408. Its totient is φ = 20129600.

The previous prime is 77141059. The next prime is 77141101. The reversal of 77141100 is 114177.

It is not an unprimeable number, because it can be changed into a prime (77141101) 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, 11365 + ... + 16835.

It is an arithmetic number, because the mean of its divisors is an integer number (3166464).

Almost surely, 2^77141100 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 77141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113992704).

77141100 is an abundant number, since it is smaller than the sum of its proper divisors (150844308).

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

77141100 is a wasteful number, since it uses less digits than its factorization.

77141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 77141100 is about 8783.0006262097. Note that the first 3 decimals coincide. The cubic root of 77141100 is about 425.6917914377.

Adding to 77141100 its reverse (114177), we get a palindrome (77255277).

The spelling of 77141100 in words is "seventy-seven million, one hundred forty-one thousand, one hundred".