76742127 has 32 divisors (see below), whose sum is σ = 141749760. Its totient is φ = 39864960.

The previous prime is 76742089. The next prime is 76742129. The reversal of 76742127 is 72124767.

It is a happy number.

It is not a de Polignac number, because 76742127 - 2¹⁰ = 76741103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 76742091 and 76742100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76742129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16378 + ... + 20535.

It is an arithmetic number, because the mean of its divisors is an integer number (4429680).

Almost surely, 2^76742127 is an apocalyptic number.

76742127 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

76742127 is a deficient number, since it is larger than the sum of its proper divisors (65007633).

76742127 is a wasteful number, since it uses less digits than its factorization.

76742127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36940 (or 36934 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 76742127 is about 8760.2583866002. The cubic root of 76742127 is about 424.9566313301.

It can be divided in two parts, 7674 and 2127, that added together give a square (9801 = 99²).

The spelling of 76742127 in words is "seventy-six million, seven hundred forty-two thousand, one hundred twenty-seven".