76873216 has 80 divisors (see below), whose sum is σ = 178247520. Its totient is φ = 32440320.

The previous prime is 76873177. The next prime is 76873219. The reversal of 76873216 is 61237867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76873219) 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 7 ways as a sum of consecutive naturals, for example, 318856 + ... + 319096.

It is an arithmetic number, because the mean of its divisors is an integer number (2228094).

Almost surely, 2^76873216 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 76873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89123760).

76873216 is an abundant number, since it is smaller than the sum of its proper divisors (101374304).

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

76873216 is an equidigital number, since it uses as much as digits as its factorization.

76873216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 339 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 76873216 is about 8767.7372223396. The cubic root of 76873216 is about 425.1984604832.

It can be divided in two parts, 768 and 73216, that added together give a square (73984 = 272²).

The spelling of 76873216 in words is "seventy-six million, eight hundred seventy-three thousand, two hundred sixteen".