77806101 has 16 divisors (see below), whose sum is σ = 108797760. Its totient is φ = 49392000.

The previous prime is 77806087. The next prime is 77806111. The reversal of 77806101 is 10160877.

It is not a de Polignac number, because 77806101 - 2¹⁷ = 77675029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77806111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226 + ... + 12476.

It is an arithmetic number, because the mean of its divisors is an integer number (6799860).

Almost surely, 2^77806101 is an apocalyptic number.

It is an amenable number.

77806101 is a deficient number, since it is larger than the sum of its proper divisors (30991659).

77806101 is a wasteful number, since it uses less digits than its factorization.

77806101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12356.

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 77806101 is about 8820.7766664846. The cubic root of 77806101 is about 426.9115298432.

Adding to 77806101 its reverse (10160877), we get a palindrome (87966978).

The spelling of 77806101 in words is "seventy-seven million, eight hundred six thousand, one hundred one".