76906401761440 has 24 divisors (see below), whose sum is σ = 181691374161780. Its totient is φ = 30762560704512.

The previous prime is 76906401761377. The next prime is 76906401761447. The reversal of 76906401761440 is 4416710460967.

It can be written as a sum of positive squares in 2 ways, for example, as 76343067452304 + 563334309136 = 8737452^2 + 750556^2 .

It is a super-4 number, since 4×76906401761440⁴ (a number of 57 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (76906401761447) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 240332505345 + ... + 240332505664.

Almost surely, 2^{76906401761440} is an apocalyptic number.

It is an amenable number.

76906401761440 is an abundant number, since it is smaller than the sum of its proper divisors (104784972400340).

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

76906401761440 is a wasteful number, since it uses less digits than its factorization.

76906401761440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480665011024 (or 480665011016 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 76906401761440 in words is "seventy-six trillion, nine hundred six billion, four hundred one million, seven hundred sixty-one thousand, four hundred forty".