76411566 has 256 divisors, whose sum is σ = 238878720. Its totient is φ = 17487360.

The previous prime is 76411561. The next prime is 76411567. The reversal of 76411566 is 66511467.

76411566 is a `hidden beast` number, since 7 + 641 + 1 + 5 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76411566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76411561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1625755 + ... + 1625801.

It is an arithmetic number, because the mean of its divisors is an integer number (933120).

Almost surely, 2^76411566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76411566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119439360).

76411566 is an abundant number, since it is smaller than the sum of its proper divisors (162467154).

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

76411566 is a wasteful number, since it uses less digits than its factorization.

76411566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 76411566 is about 8741.3709451092. The cubic root of 76411566 is about 424.3455968069.

Subtracting from 76411566 its reverse (66511467), we obtain a palindrome (9900099).

The spelling of 76411566 in words is "seventy-six million, four hundred eleven thousand, five hundred sixty-six".