76538349 has 24 divisors (see below), whose sum is σ = 116922624. Its totient is φ = 48168000.

The previous prime is 76538317. The next prime is 76538359. The reversal of 76538349 is 94383567.

76538349 is a `hidden beast` number, since 76 + 538 + 3 + 49 = 666.

It is not a de Polignac number, because 76538349 - 2⁵ = 76538317 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76538359) 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, 8094 + ... + 14784.

It is an arithmetic number, because the mean of its divisors is an integer number (4871776).

Almost surely, 2^76538349 is an apocalyptic number.

It is an amenable number.

76538349 is a deficient number, since it is larger than the sum of its proper divisors (40384275).

76538349 is a wasteful number, since it uses less digits than its factorization.

76538349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6769 (or 6766 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 76538349 is about 8748.6198340081. The cubic root of 76538349 is about 424.5801602502.

It can be divided in two parts, 76538 and 349, that multiplied together give a palindrome (26711762).

The spelling of 76538349 in words is "seventy-six million, five hundred thirty-eight thousand, three hundred forty-nine".