76456349072 has 40 divisors (see below), whose sum is σ = 151357314744. Its totient is φ = 37400489984.

The previous prime is 76456349069. The next prime is 76456349141. The reversal of 76456349072 is 27094365467.

It can be written as a sum of positive squares in 4 ways, for example, as 17107593616 + 59348755456 = 130796^2 + 243616^2 .

It is a super-2 number, since 2×76456349072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171638 + ... + 427050.

Almost surely, 2^76456349072 is an apocalyptic number.

It is an amenable number.

76456349072 is a deficient number, since it is larger than the sum of its proper divisors (74900965672).

76456349072 is a wasteful number, since it uses less digits than its factorization.

76456349072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255827 (or 255821 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 53.

The spelling of 76456349072 in words is "seventy-six billion, four hundred fifty-six million, three hundred forty-nine thousand, seventy-two".