77738506084029 has 32 divisors (see below), whose sum is σ = 118985832486144. Its totient is φ = 44224379873280.

The previous prime is 77738506084027. The next prime is 77738506084039. The reversal of 77738506084029 is 92048060583777.

It is a happy number.

It is not a de Polignac number, because 77738506084029 - 2¹ = 77738506084027 is a prime.

It is a super-2 number, since 2×77738506084029² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77738506084027) 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, 29875537 + ... + 32373209.

It is an arithmetic number, because the mean of its divisors is an integer number (3718307265192).

Almost surely, 2^{77738506084029} is an apocalyptic number.

It is an amenable number.

77738506084029 is a deficient number, since it is larger than the sum of its proper divisors (41247326402115).

77738506084029 is a wasteful number, since it uses less digits than its factorization.

77738506084029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504277.

The product of its (nonzero) digits is 142248960, while the sum is 66.

The spelling of 77738506084029 in words is "seventy-seven trillion, seven hundred thirty-eight billion, five hundred six million, eighty-four thousand, twenty-nine".