76870385067 has 64 divisors (see below), whose sum is σ = 120353408000. Its totient is φ = 42737518080.

The previous prime is 76870385027. The next prime is 76870385077. The reversal of 76870385067 is 76058307867.

It is not a de Polignac number, because 76870385067 - 2¹⁰ = 76870384043 is a prime.

It is a super-2 number, since 2×76870385067² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76870384998 and 76870385016.

It is not an unprimeable number, because it can be changed into a prime (76870385027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62141973 + ... + 62143209.

It is an arithmetic number, because the mean of its divisors is an integer number (1880522000).

Almost surely, 2^76870385067 is an apocalyptic number.

76870385067 is a deficient number, since it is larger than the sum of its proper divisors (43483022933).

76870385067 is a wasteful number, since it uses less digits than its factorization.

76870385067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796.

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 76870385067 in words is "seventy-six billion, eight hundred seventy million, three hundred eighty-five thousand, sixty-seven".