77221354100 has 72 divisors (see below), whose sum is σ = 183569500800. Its totient is φ = 27962905600.

The previous prime is 77221354097. The next prime is 77221354109. The reversal of 77221354100 is 145312277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77221354109) 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, 116036 + ... + 409764.

It is an arithmetic number, because the mean of its divisors is an integer number (2549576400).

Almost surely, 2^77221354100 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 77221354100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91784750400).

77221354100 is an abundant number, since it is smaller than the sum of its proper divisors (106348146700).

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

77221354100 is a wasteful number, since it uses less digits than its factorization.

77221354100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293993 (or 293986 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

Adding to 77221354100 its reverse (145312277), we get a palindrome (77366666377).

The spelling of 77221354100 in words is "seventy-seven billion, two hundred twenty-one million, three hundred fifty-four thousand, one hundred".