76291782710040 has 192 divisors, whose sum is σ = 264205678707360. Its totient is φ = 19025781166080.

The previous prime is 76291782709973. The next prime is 76291782710053. The reversal of 76291782710040 is 4001728719267.

76291782710040 is a `hidden beast` number, since 7 + 629 + 1 + 7 + 8 + 2 + 7 + 1 + 0 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×76291782710040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38739726 + ... + 40661405.

Almost surely, 2^{76291782710040} is an apocalyptic number.

It is an amenable number.

76291782710040 is an abundant number, since it is smaller than the sum of its proper divisors (187913895997320).

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

76291782710040 is a wasteful number, since it uses less digits than its factorization.

76291782710040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79401322 (or 79401315 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 76291782710040 in words is "seventy-six trillion, two hundred ninety-one billion, seven hundred eighty-two million, seven hundred ten thousand, forty".