76560084 has 36 divisors (see below), whose sum is σ = 194463360. Its totient is φ = 25396560.

The previous prime is 76560083. The next prime is 76560103. The reversal of 76560084 is 48006567.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×76560084² = 11722892924174112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76560083) 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 11 ways as a sum of consecutive naturals, for example, 2557 + ... + 12635.

It is an arithmetic number, because the mean of its divisors is an integer number (5401760).

Almost surely, 2^76560084 is an apocalyptic number.

It is an amenable number.

76560084 is an abundant number, since it is smaller than the sum of its proper divisors (117903276).

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

76560084 is a wasteful number, since it uses less digits than its factorization.

76560084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300 (or 10295 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 76560084 is about 8749.8619417680. The cubic root of 76560084 is about 424.6203465382.

The spelling of 76560084 in words is "seventy-six million, five hundred sixty thousand, eighty-four".