80215416 has 96 divisors (see below), whose sum is σ = 230630400. Its totient is φ = 25116480.

The previous prime is 80215409. The next prime is 80215441. The reversal of 80215416 is 61451208.

It is a super-3 number, since 3×80215416³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 80215416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261135 + ... + 261441.

It is an arithmetic number, because the mean of its divisors is an integer number (2402400).

Almost surely, 2^80215416 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 80215416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115315200).

80215416 is an abundant number, since it is smaller than the sum of its proper divisors (150414984).

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

80215416 is a wasteful number, since it uses less digits than its factorization.

80215416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 80215416 is about 8956.3059349265. The cubic root of 80215416 is about 431.2733411437.

It can be divided in two parts, 80 and 215416, that added together give a triangular number (215496 = T₆₅₆).

The spelling of 80215416 in words is "eighty million, two hundred fifteen thousand, four hundred sixteen".