76012560 has 160 divisors (see below), whose sum is σ = 282065280. Its totient is φ = 18703872.

The previous prime is 76012553. The next prime is 76012609. The reversal of 76012560 is 6521067.

76012560 is a `hidden beast` number, since 7 + 601 + 2 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26727 + ... + 29433.

It is an arithmetic number, because the mean of its divisors is an integer number (1762908).

Almost surely, 2^76012560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76012560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141032640).

76012560 is an abundant number, since it is smaller than the sum of its proper divisors (206052720).

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

76012560 is a wasteful number, since it uses less digits than its factorization.

76012560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 76012560 is about 8718.5182227257. The cubic root of 76012560 is about 423.6056913262.

The spelling of 76012560 in words is "seventy-six million, twelve thousand, five hundred sixty".