76266560 has 56 divisors (see below), whose sum is σ = 186071256. Its totient is φ = 29757440.

The previous prime is 76266557. The next prime is 76266577. The reversal of 76266560 is 6566267.

It can be written as a sum of positive squares in 4 ways, for example, as 1478656 + 74787904 = 1216^2 + 8648^2 .

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 7 ways as a sum of consecutive naturals, for example, 10214 + ... + 16026.

It is an arithmetic number, because the mean of its divisors is an integer number (3322701).

Almost surely, 2^76266560 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 76266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93035628).

76266560 is an abundant number, since it is smaller than the sum of its proper divisors (109804696).

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

76266560 is a wasteful number, since it uses less digits than its factorization.

76266560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 76266560 is about 8733.0727696499. The cubic root of 76266560 is about 424.0770003741.

The spelling of 76266560 in words is "seventy-six million, two hundred sixty-six thousand, five hundred sixty".