77700101 has 12 divisors (see below), whose sum is σ = 83119680. Its totient is φ = 72432360.

The previous prime is 77700079. The next prime is 77700121. The reversal of 77700101 is 10100777.

It is not a de Polignac number, because 77700101 - 2¹⁰ = 77699077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77700121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84836 + ... + 85746.

It is an arithmetic number, because the mean of its divisors is an integer number (6926640).

Almost surely, 2^77700101 is an apocalyptic number.

It is an amenable number.

77700101 is a deficient number, since it is larger than the sum of its proper divisors (5419579).

77700101 is an equidigital number, since it uses as much as digits as its factorization.

77700101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 343, while the sum is 23.

The square root of 77700101 is about 8814.7660774407. The cubic root of 77700101 is about 426.7175725259.

Adding to 77700101 its reverse (10100777), we get a palindrome (87800878).

The spelling of 77700101 in words is "seventy-seven million, seven hundred thousand, one hundred one".