77530101 has 16 divisors (see below), whose sum is σ = 116410368. Its totient is φ = 45471600.

The previous prime is 77530093. The next prime is 77530111. The reversal of 77530101 is 10103577.

It is not a de Polignac number, because 77530101 - 2³ = 77530093 is a prime.

It is a super-2 number, since 2×77530101² = 12021833122140402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77530111) 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, 36871 + ... + 38916.

It is an arithmetic number, because the mean of its divisors is an integer number (7275648).

Almost surely, 2^77530101 is an apocalyptic number.

It is an amenable number.

77530101 is a deficient number, since it is larger than the sum of its proper divisors (38880267).

77530101 is a wasteful number, since it uses less digits than its factorization.

77530101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75832.

The product of its (nonzero) digits is 735, while the sum is 24.

The square root of 77530101 is about 8805.1178867747. The cubic root of 77530101 is about 426.4061402555.

Adding to 77530101 its reverse (10103577), we get a palindrome (87633678).

It can be divided in two parts, 775 and 30101, that added together give a triangular number (30876 = T₂₄₈).

The spelling of 77530101 in words is "seventy-seven million, five hundred thirty thousand, one hundred one".