76144866 has 64 divisors (see below), whose sum is σ = 181149696. Its totient is φ = 20880000.

The previous prime is 76144847. The next prime is 76144867. The reversal of 76144866 is 66844167.

76144866 = 421² + 422² + ... + 671².

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (76144867) 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 31 ways as a sum of consecutive naturals, for example, 303241 + ... + 303491.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464).

Almost surely, 2^76144866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76144866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90574848).

76144866 is an abundant number, since it is smaller than the sum of its proper divisors (105004830).

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

76144866 is a wasteful number, since it uses less digits than its factorization.

76144866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527.

The product of its digits is 193536, while the sum is 42.

The square root of 76144866 is about 8726.1025664382. The cubic root of 76144866 is about 423.8513221743.

The spelling of 76144866 in words is "seventy-six million, one hundred forty-four thousand, eight hundred sixty-six".