76211856 has 120 divisors (see below), whose sum is σ = 248892800. Its totient is φ = 21760704.

The previous prime is 76211809. The next prime is 76211909. The reversal of 76211856 is 65811267.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76211856.

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 23 ways as a sum of consecutive naturals, for example, 48621 + ... + 50163.

Almost surely, 2^76211856 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 76211856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124446400).

76211856 is an abundant number, since it is smaller than the sum of its proper divisors (172680944).

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

76211856 is a wasteful number, since it uses less digits than its factorization.

76211856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1555 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 76211856 is about 8729.9402059808. The cubic root of 76211856 is about 423.9755830249.

The spelling of 76211856 in words is "seventy-six million, two hundred eleven thousand, eight hundred fifty-six".