76005840 has 40 divisors (see below), whose sum is σ = 235618848. Its totient is φ = 20268160.

The previous prime is 76005829. The next prime is 76005847. The reversal of 76005840 is 4850067.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 76005798 and 76005807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76005847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158106 + ... + 158585.

Almost surely, 2^76005840 is an apocalyptic number.

It is an amenable number.

76005840 is an abundant number, since it is smaller than the sum of its proper divisors (159613008).

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

76005840 is a wasteful number, since it uses less digits than its factorization.

76005840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316707 (or 316701 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 76005840 is about 8718.1328276185. The cubic root of 76005840 is about 423.5932078010.

The spelling of 76005840 in words is "seventy-six million, five thousand, eight hundred forty".