801727416 has 192 divisors, whose sum is σ = 2610144000. Its totient is φ = 227344320.

The previous prime is 801727411. The next prime is 801727441. The reversal of 801727416 is 614727108.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801727411) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2233045 + ... + 2233403.

It is an arithmetic number, because the mean of its divisors is an integer number (13594500).

Almost surely, 2^801727416 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 801727416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305072000).

801727416 is an abundant number, since it is smaller than the sum of its proper divisors (1808416584).

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

801727416 is a wasteful number, since it uses less digits than its factorization.

801727416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 801727416 is about 28314.7914701839. The cubic root of 801727416 is about 928.9854492853.

The spelling of 801727416 in words is "eight hundred one million, seven hundred twenty-seven thousand, four hundred sixteen".