802416 has 40 divisors (see below), whose sum is σ = 2110480. Its totient is φ = 262656.

The previous prime is 802387. The next prime is 802421. The reversal of 802416 is 614208.

802416 = T₂₃ + T₂₄ + ... + T₁₆₈.

802416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 802392 and 802401.

It is a congruent number.

It is an unprimeable number.

802416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3390 + ... + 3618.

It is an arithmetic number, because the mean of its divisors is an integer number (52762).

2⁸⁰²⁴¹⁶ 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 802416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055240).

802416 is an abundant number, since it is smaller than the sum of its proper divisors (1308064).

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

802416 is a wasteful number, since it uses less digits than its factorization.

802416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 802416 is about 895.7767579034. The cubic root of 802416 is about 92.9251334113.

The spelling of 802416 in words is "eight hundred two thousand, four hundred sixteen".