801416 has 32 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 312000.

The previous prime is 801407. The next prime is 801419. The reversal of 801416 is 614108.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (801419) by changing a digit.

801416 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, 35 + ... + 1266.

It is an arithmetic number, because the mean of its divisors is an integer number (58590).

2⁸⁰¹⁴¹⁶ 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 801416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

801416 is an abundant number, since it is smaller than the sum of its proper divisors (1073464).

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

801416 is a wasteful number, since it uses less digits than its factorization.

801416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 801416 is about 895.2184091047. The cubic root of 801416 is about 92.8865151375.

The spelling of 801416 in words is "eight hundred one thousand, four hundred sixteen".