80405416 has 64 divisors (see below), whose sum is σ = 195350400. Its totient is φ = 30129408.

The previous prime is 80405389. The next prime is 80405431. The reversal of 80405416 is 61450408.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10926 + ... + 16738.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 2^80405416 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 80405416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97675200).

80405416 is an abundant number, since it is smaller than the sum of its proper divisors (114944984).

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

80405416 is a wasteful number, since it uses less digits than its factorization.

80405416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 80405416 is about 8966.9067130198. The cubic root of 80405416 is about 431.6135804951.

It can be divided in two parts, 8040 and 5416, that added together give a square (13456 = 116²).

The spelling of 80405416 in words is "eighty million, four hundred five thousand, four hundred sixteen".