76835456145 has 64 divisors (see below), whose sum is σ = 156810608640. Its totient is φ = 34967173824.

The previous prime is 76835456141. The next prime is 76835456167. The reversal of 76835456145 is 54165453867.

It is a happy number.

76835456145 is a `hidden beast` number, since 7 + 6 + 8 + 35 + 4 + 561 + 45 = 666.

It is not a de Polignac number, because 76835456145 - 2² = 76835456141 is a prime.

It is a super-2 number, since 2×76835456145² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 76835456091 and 76835456100.

It is not an unprimeable number, because it can be changed into a prime (76835456141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28432 + ... + 393038.

It is an arithmetic number, because the mean of its divisors is an integer number (2450165760).

Almost surely, 2^76835456145 is an apocalyptic number.

It is an amenable number.

76835456145 is an abundant number, since it is smaller than the sum of its proper divisors (79975152495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76835456145 is a wasteful number, since it uses less digits than its factorization.

76835456145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364851 (or 364845 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 76835456145 in words is "seventy-six billion, eight hundred thirty-five million, four hundred fifty-six thousand, one hundred forty-five".